diff --git a/pandas-stubs/_libs/tslibs/offsets.pyi b/pandas-stubs/_libs/tslibs/offsets.pyi
index 852a24591..1b86a3fed 100644
--- a/pandas-stubs/_libs/tslibs/offsets.pyi
+++ b/pandas-stubs/_libs/tslibs/offsets.pyi
@@ -1,4 +1,5 @@
 from datetime import (
+    date,
     datetime,
     timedelta,
 )
@@ -15,10 +16,12 @@ from pandas.core.indexes.datetimes import DatetimeIndex
 
 from pandas._typing import npt
 
+from pandas.tseries.holiday import AbstractHolidayCalendar
+
 from .timedeltas import Timedelta
 
 _BaseOffsetT = TypeVar("_BaseOffsetT", bound=BaseOffset)
-_DatetimeT = TypeVar("_DatetimeT", bound=datetime)
+_DatetimeT = TypeVar("_DatetimeT", bound=date)
 _TimedeltaT = TypeVar("_TimedeltaT", bound=timedelta)
 
 prefix_mapping: dict[str, type]
@@ -204,8 +207,8 @@ class CustomBusinessDay(BusinessDay):
         self,
         n: int = ...,
         normalize: bool = ...,
-        offset: timedelta = ...,
-        weekmask: str = ...,
+        holidays: list = ...,
+        calendar: AbstractHolidayCalendar | np.busdaycalendar = ...,
     ): ...
 
 class CustomBusinessHour(BusinessHour):
diff --git a/pandas-stubs/_typing.pyi b/pandas-stubs/_typing.pyi
index 04f051bd8..73617ff4f 100644
--- a/pandas-stubs/_typing.pyi
+++ b/pandas-stubs/_typing.pyi
@@ -47,6 +47,8 @@ PandasScalar = Union[bytes, datetime.date, datetime.datetime, datetime.timedelta
 # Scalar = Union[PythonScalar, PandasScalar]
 IntStrT = TypeVar("IntStrT", int, str)
 
+DatetimeLike = Union[datetime.date, datetime.datetime, np.datetime64, Timestamp]
+
 # dtypes
 NpDtype = Union[str, np.dtype[np.generic], type[Union[str, complex, bool, object]]]
 Dtype = Union[ExtensionDtype, NpDtype]
diff --git a/pandas-stubs/core/indexes/datetimes.pyi b/pandas-stubs/core/indexes/datetimes.pyi
index 32f9d442d..b578eeb77 100644
--- a/pandas-stubs/core/indexes/datetimes.pyi
+++ b/pandas-stubs/core/indexes/datetimes.pyi
@@ -19,11 +19,15 @@ from pandas.core.series import (
 from pandas._typing import (
     AnyArrayLike,
     ArrayLike,
+    DatetimeLike,
+    IntervalClosedType,
     np_ndarray_bool,
 )
 
 from pandas.core.dtypes.dtypes import DatetimeTZDtype
 
+from pandas.tseries.offsets import BaseOffset
+
 class DatetimeIndex(DatetimeTimedeltaMixin, DatetimeIndexProperties):
     tz: tzinfo | None
     def __init__(
@@ -76,25 +80,26 @@ class DatetimeIndex(DatetimeTimedeltaMixin, DatetimeIndexProperties):
     def dtype(self) -> np.dtype | DatetimeTZDtype: ...
 
 def date_range(
-    start=...,
-    end=...,
-    periods=...,
-    freq=...,
-    tz=...,
-    normalize=...,
-    name=...,
-    closed=...,
+    start: str | DatetimeLike | None = ...,
+    end: str | DatetimeLike | None = ...,
+    periods: int | None = ...,
+    freq: str | BaseOffset = ...,
+    tz: str | tzinfo = ...,
+    normalize: bool = ...,
+    name: str | None = ...,
+    inclusive: IntervalClosedType = ...,
     **kwargs,
 ) -> DatetimeIndex: ...
 def bdate_range(
-    start=...,
-    end=...,
-    periods=...,
-    freq: str = ...,
-    tz=...,
+    start: str | DatetimeLike | None = ...,
+    end: str | DatetimeLike | None = ...,
+    periods: int | None = ...,
+    freq: str | BaseOffset = ...,
+    tz: str | tzinfo = ...,
     normalize: bool = ...,
-    name=...,
-    weekmask=...,
-    holidays=...,
-    closed=...,
+    name: str | None = ...,
+    weekmask: str | None = ...,
+    holidays: list | None = ...,
+    inclusive: IntervalClosedType = ...,
+    **kwargs,
 ) -> DatetimeIndex: ...
diff --git a/pandas-stubs/tseries/holiday.pyi b/pandas-stubs/tseries/holiday.pyi
new file mode 100644
index 000000000..47c088e05
--- /dev/null
+++ b/pandas-stubs/tseries/holiday.pyi
@@ -0,0 +1,3 @@
+class Holiday: ...
+class AbstractHolidayCalendar: ...
+class USFederalHolidayCalendar(AbstractHolidayCalendar): ...
diff --git a/tests/test_timefuncs.py b/tests/test_timefuncs.py
index 3e082e7da..c2ba18200 100644
--- a/tests/test_timefuncs.py
+++ b/tests/test_timefuncs.py
@@ -23,6 +23,13 @@
     check,
 )
 
+from pandas.tseries.holiday import USFederalHolidayCalendar
+from pandas.tseries.offsets import (
+    BusinessDay,
+    CustomBusinessDay,
+    Day,
+)
+
 if TYPE_CHECKING:
     from pandas.core.series import (
         PeriodSeries,
@@ -403,3 +410,33 @@ def test_datetimeindex_accessors() -> None:
     check(assert_type(i0.month_name(), pd.Index), pd.Index, str)
     check(assert_type(i0.day_name(), pd.Index), pd.Index, str)
     check(assert_type(i0.is_normalized, bool), bool)
+
+
+def test_some_offsets() -> None:
+    # GH 222
+
+    check(
+        assert_type(
+            CustomBusinessDay(calendar=USFederalHolidayCalendar()), CustomBusinessDay
+        ),
+        CustomBusinessDay,
+    )
+    # GH 223
+    check(
+        assert_type(pd.date_range("1/1/2022", "2/1/2022", freq="1D"), pd.DatetimeIndex),
+        pd.DatetimeIndex,
+    )
+    check(
+        assert_type(
+            pd.date_range("1/1/2022", "2/1/2022", freq=Day()), pd.DatetimeIndex
+        ),
+        pd.DatetimeIndex,
+    )
+    check(
+        assert_type(
+            pd.bdate_range("1/1/2022", "2/1/2022", freq=BusinessDay()), pd.DatetimeIndex
+        ),
+        pd.DatetimeIndex,
+    )
+    # GH 224
+    check(assert_type(dt.date.today() - Day(), dt.date), dt.date)