diff --git a/doc/source/whatsnew/v1.1.0.rst b/doc/source/whatsnew/v1.1.0.rst
index 567b6853bd633..0b74ea89eb4ea 100644
--- a/doc/source/whatsnew/v1.1.0.rst
+++ b/doc/source/whatsnew/v1.1.0.rst
@@ -298,6 +298,7 @@ Other enhancements
 - :meth:`~pandas.io.gbq.read_gbq` now allows to disable progress bar (:issue:`33360`).
 - :meth:`~pandas.io.gbq.read_gbq` now supports the ``max_results`` kwarg from ``pandas-gbq`` (:issue:`34639`).
 - :meth:`DataFrame.to_html` and :meth:`DataFrame.to_string`'s ``col_space`` parameter now accepts a list of dict to change only some specific columns' width (:issue:`28917`).
+- :meth:`~Series.explode` now accepts ``ignore_index`` to reset the index, similarly to ``pd.concat`` or ``DataFrame.sort_values`` (:issue:`34932`).
 
 .. ---------------------------------------------------------------------------
 
diff --git a/pandas/core/frame.py b/pandas/core/frame.py
index d12ebeafe8510..44bb0c47f153d 100644
--- a/pandas/core/frame.py
+++ b/pandas/core/frame.py
@@ -6895,7 +6895,9 @@ def stack(self, level=-1, dropna=True):
         else:
             return stack(self, level, dropna=dropna)
 
-    def explode(self, column: Union[str, Tuple]) -> "DataFrame":
+    def explode(
+        self, column: Union[str, Tuple], ignore_index: bool = False
+    ) -> "DataFrame":
         """
         Transform each element of a list-like to a row, replicating index values.
 
@@ -6905,6 +6907,8 @@ def explode(self, column: Union[str, Tuple]) -> "DataFrame":
         ----------
         column : str or tuple
             Column to explode.
+        ignore_index : bool, default False
+            If True, the resulting index will be labeled 0, 1, …, n - 1.
 
         Returns
         -------
@@ -6961,7 +6965,10 @@ def explode(self, column: Union[str, Tuple]) -> "DataFrame":
         assert df is not None  # needed for mypy
         result = df[column].explode()
         result = df.drop([column], axis=1).join(result)
-        result.index = self.index.take(result.index)
+        if ignore_index:
+            result.index = ibase.default_index(len(result))
+        else:
+            result.index = self.index.take(result.index)
         result = result.reindex(columns=self.columns, copy=False)
 
         return result
diff --git a/pandas/core/series.py b/pandas/core/series.py
index cab8dd133b579..79bba58f14056 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -3762,12 +3762,17 @@ def reorder_levels(self, order) -> "Series":
         result.index = result.index.reorder_levels(order)
         return result
 
-    def explode(self) -> "Series":
+    def explode(self, ignore_index: bool = False) -> "Series":
         """
         Transform each element of a list-like to a row.
 
         .. versionadded:: 0.25.0
 
+        Parameters
+        ----------
+        ignore_index : bool, default False
+            If True, the resulting index will be labeled 0, 1, …, n - 1.
+
         Returns
         -------
         Series
@@ -3814,9 +3819,13 @@ def explode(self) -> "Series":
 
         values, counts = reshape.explode(np.asarray(self.array))
 
-        result = self._constructor(
-            values, index=self.index.repeat(counts), name=self.name
-        )
+        if ignore_index:
+            result = self._constructor(values, index=range(len(values)), name=self.name)
+        else:
+            result = self._constructor(
+                values, index=self.index.repeat(counts), name=self.name
+            )
+
         return result
 
     def unstack(self, level=-1, fill_value=None):
diff --git a/pandas/tests/frame/methods/test_explode.py b/pandas/tests/frame/methods/test_explode.py
index bad8349ec977b..2bbe8ac2d5b81 100644
--- a/pandas/tests/frame/methods/test_explode.py
+++ b/pandas/tests/frame/methods/test_explode.py
@@ -162,3 +162,13 @@ def test_duplicate_index(input_dict, input_index, expected_dict, expected_index)
     result = df.explode("col1")
     expected = pd.DataFrame(expected_dict, index=expected_index, dtype=object)
     tm.assert_frame_equal(result, expected)
+
+
+def test_ignore_index():
+    # GH 34932
+    df = pd.DataFrame({"id": range(0, 20, 10), "values": [list("ab"), list("cd")]})
+    result = df.explode("values", ignore_index=True)
+    expected = pd.DataFrame(
+        {"id": [0, 0, 10, 10], "values": list("abcd")}, index=[0, 1, 2, 3]
+    )
+    tm.assert_frame_equal(result, expected)
diff --git a/pandas/tests/series/methods/test_explode.py b/pandas/tests/series/methods/test_explode.py
index 979199e1efc62..4b65e042f7b02 100644
--- a/pandas/tests/series/methods/test_explode.py
+++ b/pandas/tests/series/methods/test_explode.py
@@ -88,7 +88,6 @@ def test_typical_usecase():
         columns=["var1", "var2"],
     )
     exploded = df.var1.str.split(",").explode()
-    exploded
     result = df[["var2"]].join(exploded)
     expected = pd.DataFrame(
         {"var2": [1, 1, 1, 2, 2, 2], "var1": list("abcdef")},
@@ -119,3 +118,11 @@ def test_duplicate_index():
     result = s.explode()
     expected = pd.Series([1, 2, 3, 4], index=[0, 0, 0, 0], dtype=object)
     tm.assert_series_equal(result, expected)
+
+
+def test_ignore_index():
+    # GH 34932
+    s = pd.Series([[1, 2], [3, 4]])
+    result = s.explode(ignore_index=True)
+    expected = pd.Series([1, 2, 3, 4], index=[0, 1, 2, 3], dtype=object)
+    tm.assert_series_equal(result, expected)