diff --git a/pandas/conftest.py b/pandas/conftest.py
index 7bc6dbae38e6c..04589993b5f53 100644
--- a/pandas/conftest.py
+++ b/pandas/conftest.py
@@ -1268,6 +1268,16 @@ def timedelta64_dtype(request):
     return request.param
 
 
+@pytest.fixture
+def fixed_now_ts():
+    """
+    Fixture emits fixed Timestamp.now()
+    """
+    return Timestamp(
+        year=2021, month=1, day=1, hour=12, minute=4, second=13, microsecond=22
+    )
+
+
 @pytest.fixture(params=tm.FLOAT_NUMPY_DTYPES)
 def float_numpy_dtype(request):
     """
diff --git a/pandas/tests/arithmetic/test_datetime64.py b/pandas/tests/arithmetic/test_datetime64.py
index 87bbdfb3c808f..49585f3d37924 100644
--- a/pandas/tests/arithmetic/test_datetime64.py
+++ b/pandas/tests/arithmetic/test_datetime64.py
@@ -150,7 +150,7 @@ def test_dt64arr_nat_comparison(self, tz_naive_fixture, box_with_array):
         tz = tz_naive_fixture
         box = box_with_array
 
-        ts = Timestamp.now(tz)
+        ts = Timestamp("2021-01-01", tz=tz)
         ser = Series([ts, NaT])
 
         obj = tm.box_expected(ser, box)
diff --git a/pandas/tests/arithmetic/test_numeric.py b/pandas/tests/arithmetic/test_numeric.py
index 3bf5fdb257c2a..a33febbfbe960 100644
--- a/pandas/tests/arithmetic/test_numeric.py
+++ b/pandas/tests/arithmetic/test_numeric.py
@@ -85,9 +85,9 @@ def test_operator_series_comparison_zerorank(self):
         expected = 0.0 > Series([1, 2, 3])
         tm.assert_series_equal(result, expected)
 
-    def test_df_numeric_cmp_dt64_raises(self, box_with_array):
+    def test_df_numeric_cmp_dt64_raises(self, box_with_array, fixed_now_ts):
         # GH#8932, GH#22163
-        ts = pd.Timestamp.now()
+        ts = fixed_now_ts
         obj = np.array(range(5))
         obj = tm.box_expected(obj, box_with_array)
 
@@ -281,9 +281,9 @@ def test_add_sub_timedeltalike_invalid(self, numeric_idx, other, box_with_array)
     @pytest.mark.parametrize(
         "other",
         [
-            pd.Timestamp.now().to_pydatetime(),
-            pd.Timestamp.now(tz="UTC").to_pydatetime(),
-            pd.Timestamp.now().to_datetime64(),
+            pd.Timestamp("2021-01-01").to_pydatetime(),
+            pd.Timestamp("2021-01-01", tz="UTC").to_pydatetime(),
+            pd.Timestamp("2021-01-01").to_datetime64(),
             pd.NaT,
         ],
     )
@@ -873,7 +873,7 @@ def test_add_frames(self, first, second, expected):
         tm.assert_frame_equal(second + first, expected)
 
     # TODO: This came from series.test.test_operators, needs cleanup
-    def test_series_frame_radd_bug(self):
+    def test_series_frame_radd_bug(self, fixed_now_ts):
         # GH#353
         vals = Series(tm.rands_array(5, 10))
         result = "foo_" + vals
@@ -889,7 +889,7 @@ def test_series_frame_radd_bug(self):
         ts.name = "ts"
 
         # really raise this time
-        now = pd.Timestamp.now().to_pydatetime()
+        fix_now = fixed_now_ts.to_pydatetime()
         msg = "|".join(
             [
                 "unsupported operand type",
@@ -898,10 +898,10 @@ def test_series_frame_radd_bug(self):
             ]
         )
         with pytest.raises(TypeError, match=msg):
-            now + ts
+            fix_now + ts
 
         with pytest.raises(TypeError, match=msg):
-            ts + now
+            ts + fix_now
 
     # TODO: This came from series.test.test_operators, needs cleanup
     def test_datetime64_with_index(self):
diff --git a/pandas/tests/arithmetic/test_object.py b/pandas/tests/arithmetic/test_object.py
index 3069868ebb677..c96d7c01ec97f 100644
--- a/pandas/tests/arithmetic/test_object.py
+++ b/pandas/tests/arithmetic/test_object.py
@@ -315,7 +315,7 @@ def test_sub_object(self):
         with pytest.raises(TypeError, match=msg):
             index - np.array([2, "foo"], dtype=object)
 
-    def test_rsub_object(self):
+    def test_rsub_object(self, fixed_now_ts):
         # GH#19369
         index = pd.Index([Decimal(1), Decimal(2)])
         expected = pd.Index([Decimal(1), Decimal(0)])
@@ -331,7 +331,7 @@ def test_rsub_object(self):
             "foo" - index
 
         with pytest.raises(TypeError, match=msg):
-            np.array([True, Timestamp.now()]) - index
+            np.array([True, fixed_now_ts]) - index
 
 
 class MyIndex(pd.Index):
diff --git a/pandas/tests/arithmetic/test_period.py b/pandas/tests/arithmetic/test_period.py
index f4404a3483e6f..a231e52d4b027 100644
--- a/pandas/tests/arithmetic/test_period.py
+++ b/pandas/tests/arithmetic/test_period.py
@@ -72,7 +72,7 @@ def test_compare_zerodim(self, box_with_array):
         "scalar",
         [
             "foo",
-            Timestamp.now(),
+            Timestamp("2021-01-01"),
             Timedelta(days=4),
             9,
             9.5,
@@ -693,9 +693,9 @@ def test_sub_n_gt_1_offsets(self, offset, kwd_name, n):
         "other",
         [
             # datetime scalars
-            Timestamp.now(),
-            Timestamp.now().to_pydatetime(),
-            Timestamp.now().to_datetime64(),
+            Timestamp("2016-01-01"),
+            Timestamp("2016-01-01").to_pydatetime(),
+            Timestamp("2016-01-01").to_datetime64(),
             # datetime-like arrays
             pd.date_range("2016-01-01", periods=3, freq="H"),
             pd.date_range("2016-01-01", periods=3, tz="Europe/Brussels"),
diff --git a/pandas/tests/arithmetic/test_timedelta64.py b/pandas/tests/arithmetic/test_timedelta64.py
index 93332b9b96f84..29c01e45ed28d 100644
--- a/pandas/tests/arithmetic/test_timedelta64.py
+++ b/pandas/tests/arithmetic/test_timedelta64.py
@@ -110,11 +110,11 @@ def test_compare_timedeltalike_scalar(self, box_with_array, td_scalar):
         [
             345600000000000,
             "a",
-            Timestamp.now(),
-            Timestamp.now("UTC"),
-            Timestamp.now().to_datetime64(),
-            Timestamp.now().to_pydatetime(),
-            Timestamp.now().date(),
+            Timestamp("2021-01-01"),
+            Timestamp("2021-01-01").now("UTC"),
+            Timestamp("2021-01-01").now().to_datetime64(),
+            Timestamp("2021-01-01").now().to_pydatetime(),
+            Timestamp("2021-01-01").date(),
             np.array(4),  # zero-dim mismatched dtype
         ],
     )
@@ -152,7 +152,7 @@ def test_td64arr_cmp_arraylike_invalid(self, other, box_with_array):
 
     def test_td64arr_cmp_mixed_invalid(self):
         rng = timedelta_range("1 days", periods=5)._data
-        other = np.array([0, 1, 2, rng[3], Timestamp.now()])
+        other = np.array([0, 1, 2, rng[3], Timestamp("2021-01-01")])
 
         result = rng == other
         expected = np.array([False, False, False, True, False])
@@ -2174,7 +2174,7 @@ def test_td64arr_pow_invalid(self, scalar_td, box_with_array):
 
 def test_add_timestamp_to_timedelta():
     # GH: 35897
-    timestamp = Timestamp.now()
+    timestamp = Timestamp("2021-01-01")
     result = timestamp + timedelta_range("0s", "1s", periods=31)
     expected = DatetimeIndex(
         [
diff --git a/pandas/tests/arrays/string_/test_string.py b/pandas/tests/arrays/string_/test_string.py
index 092fc6a460fca..c330e959ad5bf 100644
--- a/pandas/tests/arrays/string_/test_string.py
+++ b/pandas/tests/arrays/string_/test_string.py
@@ -539,7 +539,7 @@ def test_to_numpy_na_value(dtype, nulls_fixture):
     tm.assert_numpy_array_equal(result, expected)
 
 
-def test_isin(dtype, request):
+def test_isin(dtype, request, fixed_now_ts):
     s = pd.Series(["a", "b", None], dtype=dtype)
 
     result = s.isin(["a", "c"])
@@ -554,6 +554,6 @@ def test_isin(dtype, request):
     expected = pd.Series([False, False, False])
     tm.assert_series_equal(result, expected)
 
-    result = s.isin(["a", pd.Timestamp.now()])
+    result = s.isin(["a", fixed_now_ts])
     expected = pd.Series([True, False, False])
     tm.assert_series_equal(result, expected)
diff --git a/pandas/tests/arrays/test_datetimelike.py b/pandas/tests/arrays/test_datetimelike.py
index ff7c7a7782da3..00a8110a399d4 100644
--- a/pandas/tests/arrays/test_datetimelike.py
+++ b/pandas/tests/arrays/test_datetimelike.py
@@ -839,30 +839,29 @@ def test_int_properties(self, arr1d, propname):
 
         tm.assert_numpy_array_equal(result, expected)
 
-    def test_take_fill_valid(self, arr1d):
+    def test_take_fill_valid(self, arr1d, fixed_now_ts):
         arr = arr1d
         dti = self.index_cls(arr1d)
-        dt_ind = Timestamp(2021, 1, 1, 12)
-        dt_ind_tz = dt_ind.tz_localize(dti.tz)
 
-        result = arr.take([-1, 1], allow_fill=True, fill_value=dt_ind_tz)
-        assert result[0] == dt_ind_tz
+        now = fixed_now_ts.tz_localize(dti.tz)
+        result = arr.take([-1, 1], allow_fill=True, fill_value=now)
+        assert result[0] == now
 
         msg = f"value should be a '{arr1d._scalar_type.__name__}' or 'NaT'. Got"
         with pytest.raises(TypeError, match=msg):
             # fill_value Timedelta invalid
-            arr.take([-1, 1], allow_fill=True, fill_value=dt_ind_tz - dt_ind_tz)
+            arr.take([-1, 1], allow_fill=True, fill_value=now - now)
 
         with pytest.raises(TypeError, match=msg):
             # fill_value Period invalid
             arr.take([-1, 1], allow_fill=True, fill_value=Period("2014Q1"))
 
         tz = None if dti.tz is not None else "US/Eastern"
-        dt_ind_tz = dt_ind.tz_localize(tz)
+        now = fixed_now_ts.tz_localize(tz)
         msg = "Cannot compare tz-naive and tz-aware datetime-like objects"
         with pytest.raises(TypeError, match=msg):
             # Timestamp with mismatched tz-awareness
-            arr.take([-1, 1], allow_fill=True, fill_value=dt_ind_tz)
+            arr.take([-1, 1], allow_fill=True, fill_value=now)
 
         value = NaT.value
         msg = f"value should be a '{arr1d._scalar_type.__name__}' or 'NaT'. Got"
@@ -878,7 +877,7 @@ def test_take_fill_valid(self, arr1d):
         if arr.tz is not None:
             # GH#37356
             # Assuming here that arr1d fixture does not include Australia/Melbourne
-            value = dt_ind.tz_localize("Australia/Melbourne")
+            value = fixed_now_ts.tz_localize("Australia/Melbourne")
             msg = "Timezones don't match. .* != 'Australia/Melbourne'"
             with pytest.raises(ValueError, match=msg):
                 # require tz match, not just tzawareness match
@@ -1032,7 +1031,7 @@ def test_array_interface(self, timedelta_index):
             expected = np.asarray(arr).astype(dtype)
             tm.assert_numpy_array_equal(result, expected)
 
-    def test_take_fill_valid(self, timedelta_index):
+    def test_take_fill_valid(self, timedelta_index, fixed_now_ts):
         tdi = timedelta_index
         arr = TimedeltaArray(tdi)
 
@@ -1040,14 +1039,13 @@ def test_take_fill_valid(self, timedelta_index):
         result = arr.take([-1, 1], allow_fill=True, fill_value=td1)
         assert result[0] == td1
 
-        dt_ind = Timestamp(2021, 1, 1, 12)
-        value = dt_ind
+        value = fixed_now_ts
         msg = f"value should be a '{arr._scalar_type.__name__}' or 'NaT'. Got"
         with pytest.raises(TypeError, match=msg):
             # fill_value Timestamp invalid
             arr.take([0, 1], allow_fill=True, fill_value=value)
 
-        value = dt_ind.to_period("D")
+        value = fixed_now_ts.to_period("D")
         with pytest.raises(TypeError, match=msg):
             # fill_value Period invalid
             arr.take([0, 1], allow_fill=True, fill_value=value)
diff --git a/pandas/tests/arrays/test_datetimes.py b/pandas/tests/arrays/test_datetimes.py
index 0453b1ef1c40d..d905c55c4553a 100644
--- a/pandas/tests/arrays/test_datetimes.py
+++ b/pandas/tests/arrays/test_datetimes.py
@@ -146,9 +146,9 @@ def test_setitem_clears_freq(self):
     @pytest.mark.parametrize(
         "obj",
         [
-            pd.Timestamp.now(),
-            pd.Timestamp.now().to_datetime64(),
-            pd.Timestamp.now().to_pydatetime(),
+            pd.Timestamp("2021-01-01"),
+            pd.Timestamp("2021-01-01").to_datetime64(),
+            pd.Timestamp("2021-01-01").to_pydatetime(),
         ],
     )
     def test_setitem_objects(self, obj):
@@ -329,7 +329,7 @@ def test_searchsorted_tzawareness_compat(self, index):
             "invalid",
             np.arange(10, dtype="i8") * 24 * 3600 * 10 ** 9,
             np.arange(10).view("timedelta64[ns]") * 24 * 3600 * 10 ** 9,
-            pd.Timestamp.now().to_period("D"),
+            pd.Timestamp("2021-01-01").to_period("D"),
         ],
     )
     @pytest.mark.parametrize("index", [True, False])
diff --git a/pandas/tests/arrays/test_timedeltas.py b/pandas/tests/arrays/test_timedeltas.py
index 10d12446666ce..b9ddac92c0a47 100644
--- a/pandas/tests/arrays/test_timedeltas.py
+++ b/pandas/tests/arrays/test_timedeltas.py
@@ -55,11 +55,11 @@ def test_setitem_objects(self, obj):
             np.int64(1),
             1.0,
             np.datetime64("NaT"),
-            pd.Timestamp.now(),
+            pd.Timestamp("2021-01-01"),
             "invalid",
             np.arange(10, dtype="i8") * 24 * 3600 * 10 ** 9,
             (np.arange(10) * 24 * 3600 * 10 ** 9).view("datetime64[ns]"),
-            pd.Timestamp.now().to_period("D"),
+            pd.Timestamp("2021-01-01").to_period("D"),
         ],
     )
     @pytest.mark.parametrize("index", [True, False])
diff --git a/pandas/tests/arrays/timedeltas/test_reductions.py b/pandas/tests/arrays/timedeltas/test_reductions.py
index 9e854577f7e3c..586a9187fc169 100644
--- a/pandas/tests/arrays/timedeltas/test_reductions.py
+++ b/pandas/tests/arrays/timedeltas/test_reductions.py
@@ -127,9 +127,9 @@ def test_sum_2d_skipna_false(self):
         "add",
         [
             Timedelta(0),
-            pd.Timestamp.now(),
-            pd.Timestamp.now("UTC"),
-            pd.Timestamp.now("Asia/Tokyo"),
+            pd.Timestamp("2021-01-01"),
+            pd.Timestamp("2021-01-01", tz="UTC"),
+            pd.Timestamp("2021-01-01", tz="Asia/Tokyo"),
         ],
     )
     def test_std(self, add):
diff --git a/pandas/tests/dtypes/cast/test_construct_from_scalar.py b/pandas/tests/dtypes/cast/test_construct_from_scalar.py
index eccd838a11331..0ce04ce2e64cd 100644
--- a/pandas/tests/dtypes/cast/test_construct_from_scalar.py
+++ b/pandas/tests/dtypes/cast/test_construct_from_scalar.py
@@ -7,7 +7,6 @@
 from pandas import (
     Categorical,
     Timedelta,
-    Timestamp,
 )
 import pandas._testing as tm
 
@@ -25,9 +24,9 @@ def test_cast_1d_array_like_from_scalar_categorical():
     tm.assert_categorical_equal(result, expected)
 
 
-def test_cast_1d_array_like_from_timestamp():
+def test_cast_1d_array_like_from_timestamp(fixed_now_ts):
     # check we dont lose nanoseconds
-    ts = Timestamp.now() + Timedelta(1)
+    ts = fixed_now_ts + Timedelta(1)
     res = construct_1d_arraylike_from_scalar(ts, 2, np.dtype("M8[ns]"))
     assert res[0] == ts
 
diff --git a/pandas/tests/dtypes/test_missing.py b/pandas/tests/dtypes/test_missing.py
index 55d0e5e73418e..d05499cdb444c 100644
--- a/pandas/tests/dtypes/test_missing.py
+++ b/pandas/tests/dtypes/test_missing.py
@@ -44,8 +44,8 @@
 import pandas._testing as tm
 from pandas.core.api import Float64Index
 
-now = pd.Timestamp.now()
-utcnow = pd.Timestamp.now("UTC")
+fix_now = pd.Timestamp("2021-01-01")
+fix_utcnow = pd.Timestamp("2021-01-01", tz="UTC")
 
 
 @pytest.mark.parametrize("notna_f", [notna, notnull])
@@ -467,12 +467,12 @@ def test_array_equivalent_different_dtype_but_equal():
         # There are 3 variants for each of lvalue and rvalue. We include all
         #  three for the tz-naive `now` and exclude the datetim64 variant
         #  for utcnow because it drops tzinfo.
-        (now, utcnow),
-        (now.to_datetime64(), utcnow),
-        (now.to_pydatetime(), utcnow),
-        (now, utcnow),
-        (now.to_datetime64(), utcnow.to_pydatetime()),
-        (now.to_pydatetime(), utcnow.to_pydatetime()),
+        (fix_now, fix_utcnow),
+        (fix_now.to_datetime64(), fix_utcnow),
+        (fix_now.to_pydatetime(), fix_utcnow),
+        (fix_now, fix_utcnow),
+        (fix_now.to_datetime64(), fix_utcnow.to_pydatetime()),
+        (fix_now.to_pydatetime(), fix_utcnow.to_pydatetime()),
     ],
 )
 def test_array_equivalent_tzawareness(lvalue, rvalue):
diff --git a/pandas/tests/frame/test_constructors.py b/pandas/tests/frame/test_constructors.py
index 359f166b9855e..abd72d3780a05 100644
--- a/pandas/tests/frame/test_constructors.py
+++ b/pandas/tests/frame/test_constructors.py
@@ -2888,8 +2888,8 @@ def test_from_timedelta_scalar_preserves_nanos(self, constructor):
         obj = constructor(td, dtype="m8[ns]")
         assert get1(obj) == td
 
-    def test_from_timestamp_scalar_preserves_nanos(self, constructor):
-        ts = Timestamp.now() + Timedelta(1)
+    def test_from_timestamp_scalar_preserves_nanos(self, constructor, fixed_now_ts):
+        ts = fixed_now_ts + Timedelta(1)
 
         obj = constructor(ts, dtype="M8[ns]")
         assert get1(obj) == ts
diff --git a/pandas/tests/indexes/timedeltas/test_indexing.py b/pandas/tests/indexes/timedeltas/test_indexing.py
index 0c2f8d0103ceb..b618f12e9f6c9 100644
--- a/pandas/tests/indexes/timedeltas/test_indexing.py
+++ b/pandas/tests/indexes/timedeltas/test_indexing.py
@@ -149,7 +149,7 @@ def test_where_doesnt_retain_freq(self):
         result = tdi.where(cond, tdi[::-1])
         tm.assert_index_equal(result, expected)
 
-    def test_where_invalid_dtypes(self):
+    def test_where_invalid_dtypes(self, fixed_now_ts):
         tdi = timedelta_range("1 day", periods=3, freq="D", name="idx")
 
         tail = tdi[2:].tolist()
@@ -161,17 +161,17 @@ def test_where_invalid_dtypes(self):
         result = tdi.where(mask, i2.asi8)
         tm.assert_index_equal(result, expected)
 
-        ts = i2 + Timestamp.now()
+        ts = i2 + fixed_now_ts
         expected = Index([ts[0], ts[1]] + tail, dtype=object, name="idx")
         result = tdi.where(mask, ts)
         tm.assert_index_equal(result, expected)
 
-        per = (i2 + Timestamp.now()).to_period("D")
+        per = (i2 + fixed_now_ts).to_period("D")
         expected = Index([per[0], per[1]] + tail, dtype=object, name="idx")
         result = tdi.where(mask, per)
         tm.assert_index_equal(result, expected)
 
-        ts = Timestamp.now()
+        ts = fixed_now_ts
         expected = Index([ts, ts] + tail, dtype=object, name="idx")
         result = tdi.where(mask, ts)
         tm.assert_index_equal(result, expected)
diff --git a/pandas/tests/scalar/test_nat.py b/pandas/tests/scalar/test_nat.py
index 73227caa9fd62..f2c2985827a4f 100644
--- a/pandas/tests/scalar/test_nat.py
+++ b/pandas/tests/scalar/test_nat.py
@@ -645,11 +645,11 @@ def test_nat_comparisons_invalid_ndarray(other):
             op(other, NaT)
 
 
-def test_compare_date():
+def test_compare_date(fixed_now_ts):
     # GH#39151 comparing NaT with date object is deprecated
     # See also: tests.scalar.timestamps.test_comparisons::test_compare_date
 
-    dt = Timestamp.now().to_pydatetime().date()
+    dt = fixed_now_ts.to_pydatetime().date()
 
     for left, right in [(NaT, dt), (dt, NaT)]:
         assert not left == right
diff --git a/pandas/tests/scalar/timestamp/test_arithmetic.py b/pandas/tests/scalar/timestamp/test_arithmetic.py
index fd46954fd4c71..1a8fd2a8199a2 100644
--- a/pandas/tests/scalar/timestamp/test_arithmetic.py
+++ b/pandas/tests/scalar/timestamp/test_arithmetic.py
@@ -91,7 +91,7 @@ def test_delta_preserve_nanos(self):
     def test_rsub_dtscalars(self, tz_naive_fixture):
         # In particular, check that datetime64 - Timestamp works GH#28286
         td = Timedelta(1235345642000)
-        ts = Timestamp.now(tz_naive_fixture)
+        ts = Timestamp("2021-01-01", tz=tz_naive_fixture)
         other = ts + td
 
         assert other - ts == td
@@ -170,9 +170,9 @@ def test_addition_subtraction_preserve_frequency(self, freq, td, td64):
     @pytest.mark.parametrize(
         "td", [Timedelta(hours=3), np.timedelta64(3, "h"), timedelta(hours=3)]
     )
-    def test_radd_tdscalar(self, td):
+    def test_radd_tdscalar(self, td, fixed_now_ts):
         # GH#24775 timedelta64+Timestamp should not raise
-        ts = Timestamp.now()
+        ts = fixed_now_ts
         assert td + ts == ts + td
 
     @pytest.mark.parametrize(
diff --git a/pandas/tests/scalar/timestamp/test_comparisons.py b/pandas/tests/scalar/timestamp/test_comparisons.py
index b7cb7ca8d7069..7ed0a6aedebc1 100644
--- a/pandas/tests/scalar/timestamp/test_comparisons.py
+++ b/pandas/tests/scalar/timestamp/test_comparisons.py
@@ -12,8 +12,8 @@
 
 
 class TestTimestampComparison:
-    def test_comparison_dt64_ndarray(self):
-        ts = Timestamp.now()
+    def test_comparison_dt64_ndarray(self, fixed_now_ts):
+        ts = Timestamp("2021-01-01")
         ts2 = Timestamp("2019-04-05")
         arr = np.array([[ts.asm8, ts2.asm8]], dtype="M8[ns]")
 
@@ -51,7 +51,7 @@ def test_comparison_dt64_ndarray(self):
     @pytest.mark.parametrize("reverse", [True, False])
     def test_comparison_dt64_ndarray_tzaware(self, reverse, comparison_op):
 
-        ts = Timestamp.now("UTC")
+        ts = Timestamp("2021-01-01 00:00:00.00000", tz="UTC")
         arr = np.array([ts.asm8, ts.asm8], dtype="M8[ns]")
 
         left, right = ts, arr
@@ -147,7 +147,7 @@ def test_compare_invalid(self):
     @pytest.mark.parametrize("tz", [None, "US/Pacific"])
     def test_compare_date(self, tz):
         # GH#36131 comparing Timestamp with date object is deprecated
-        ts = Timestamp.now(tz)
+        ts = Timestamp("2021-01-01 00:00:00.00000", tz=tz)
         dt = ts.to_pydatetime().date()
         # These are incorrectly considered as equal because they
         #  dispatch to the date comparisons which truncates ts
@@ -278,9 +278,9 @@ def test_timestamp_compare_oob_dt64(self):
         assert Timestamp.min > other
         assert other < Timestamp.min
 
-    def test_compare_zerodim_array(self):
+    def test_compare_zerodim_array(self, fixed_now_ts):
         # GH#26916
-        ts = Timestamp.now()
+        ts = fixed_now_ts
         dt64 = np.datetime64("2016-01-01", "ns")
         arr = np.array(dt64)
         assert arr.ndim == 0
diff --git a/pandas/tests/scalar/timestamp/test_unary_ops.py b/pandas/tests/scalar/timestamp/test_unary_ops.py
index 366c0f7cf2f74..ab114e65b2422 100644
--- a/pandas/tests/scalar/timestamp/test_unary_ops.py
+++ b/pandas/tests/scalar/timestamp/test_unary_ops.py
@@ -490,10 +490,10 @@ def test_normalize_pre_epoch_dates(self):
     # --------------------------------------------------------------
 
     @td.skip_if_windows
-    def test_timestamp(self):
+    def test_timestamp(self, fixed_now_ts):
         # GH#17329
         # tz-naive --> treat it as if it were UTC for purposes of timestamp()
-        ts = Timestamp.now()
+        ts = fixed_now_ts
         uts = ts.replace(tzinfo=utc)
         assert ts.timestamp() == uts.timestamp()
 
diff --git a/pandas/tests/series/methods/test_replace.py b/pandas/tests/series/methods/test_replace.py
index 3a6cd4eb0face..8283604b99d32 100644
--- a/pandas/tests/series/methods/test_replace.py
+++ b/pandas/tests/series/methods/test_replace.py
@@ -419,10 +419,10 @@ def test_replace_empty_copy(self, frame):
         tm.assert_equal(res, obj)
         assert res is not obj
 
-    def test_replace_only_one_dictlike_arg(self):
+    def test_replace_only_one_dictlike_arg(self, fixed_now_ts):
         # GH#33340
 
-        ser = pd.Series([1, 2, "A", pd.Timestamp.now(), True])
+        ser = pd.Series([1, 2, "A", fixed_now_ts, True])
         to_replace = {0: 1, 2: "A"}
         value = "foo"
         msg = "Series.replace cannot use dict-like to_replace and non-None value"
diff --git a/pandas/tests/tools/test_to_timedelta.py b/pandas/tests/tools/test_to_timedelta.py
index 395fdea67f1bd..7b35e8d55c338 100644
--- a/pandas/tests/tools/test_to_timedelta.py
+++ b/pandas/tests/tools/test_to_timedelta.py
@@ -267,9 +267,9 @@ def test_to_timedelta_precision_over_nanos(self, input, expected, func):
         result = func(input)
         assert result == expected
 
-    def test_to_timedelta_zerodim(self):
+    def test_to_timedelta_zerodim(self, fixed_now_ts):
         # ndarray.item() incorrectly returns int for dt64[ns] and td64[ns]
-        dt64 = pd.Timestamp.now().to_datetime64()
+        dt64 = fixed_now_ts.to_datetime64()
         arg = np.array(dt64)
 
         msg = (
diff --git a/pandas/tests/tseries/offsets/test_offsets.py b/pandas/tests/tseries/offsets/test_offsets.py
index 0c79c0b64f4cd..1b2456c6f5103 100644
--- a/pandas/tests/tseries/offsets/test_offsets.py
+++ b/pandas/tests/tseries/offsets/test_offsets.py
@@ -498,11 +498,11 @@ def test_pickle_dateoffset_odd_inputs(self):
         base_dt = datetime(2020, 1, 1)
         assert base_dt + off == base_dt + res
 
-    def test_onOffset_deprecated(self, offset_types):
+    def test_onOffset_deprecated(self, offset_types, fixed_now_ts):
         # GH#30340 use idiomatic naming
         off = self._get_offset(offset_types)
 
-        ts = Timestamp.now()
+        ts = fixed_now_ts
         with tm.assert_produces_warning(FutureWarning):
             result = off.onOffset(ts)
 
diff --git a/pandas/tests/tslibs/test_timezones.py b/pandas/tests/tslibs/test_timezones.py
index fbda5e8fda9dd..7ab0ad0856af0 100644
--- a/pandas/tests/tslibs/test_timezones.py
+++ b/pandas/tests/tslibs/test_timezones.py
@@ -143,7 +143,7 @@ def test_maybe_get_tz_invalid_types():
 
     msg = "<class 'pandas._libs.tslibs.timestamps.Timestamp'>"
     with pytest.raises(TypeError, match=msg):
-        timezones.maybe_get_tz(Timestamp.now("UTC"))
+        timezones.maybe_get_tz(Timestamp("2021-01-01", tz="UTC"))
 
 
 def test_maybe_get_tz_offset_only():