diff --git a/doc/source/whatsnew/v0.24.0.txt b/doc/source/whatsnew/v0.24.0.txt
index d7feb6e547b22..a0f12179970c4 100644
--- a/doc/source/whatsnew/v0.24.0.txt
+++ b/doc/source/whatsnew/v0.24.0.txt
@@ -445,6 +445,7 @@ ExtensionType Changes
 - Added ``ExtensionDtype._is_numeric`` for controlling whether an extension dtype is considered numeric (:issue:`22290`).
 - The ``ExtensionArray`` constructor, ``_from_sequence`` now take the keyword arg ``copy=False`` (:issue:`21185`)
 - Bug in :meth:`Series.get` for ``Series`` using ``ExtensionArray`` and integer index (:issue:`21257`)
+- :meth:`~Series.shift` now dispatches to :meth:`ExtensionArray.shift` (:issue:`22386`)
 - :meth:`Series.combine()` works correctly with :class:`~pandas.api.extensions.ExtensionArray` inside of :class:`Series` (:issue:`20825`)
 - :meth:`Series.combine()` with scalar argument now works for any function type (:issue:`21248`)
 - :meth:`Series.astype` and :meth:`DataFrame.astype` now dispatch to :meth:`ExtensionArray.astype` (:issue:`21185:`).
diff --git a/pandas/core/arrays/base.py b/pandas/core/arrays/base.py
index cb82625e818a1..7bf13fb2fecc0 100644
--- a/pandas/core/arrays/base.py
+++ b/pandas/core/arrays/base.py
@@ -59,6 +59,10 @@ class ExtensionArray(object):
     * factorize / _values_for_factorize
     * argsort / _values_for_argsort
 
+    The remaining methods implemented on this class should be performant,
+    as they only compose abstract methods. Still, a more efficient
+    implementation may be available, and these methods can be overridden.
+
     This class does not inherit from 'abc.ABCMeta' for performance reasons.
     Methods and properties required by the interface raise
     ``pandas.errors.AbstractMethodError`` and no ``register`` method is
@@ -400,6 +404,40 @@ def dropna(self):
 
         return self[~self.isna()]
 
+    def shift(self, periods=1):
+        # type: (int) -> ExtensionArray
+        """
+        Shift values by desired number.
+
+        Newly introduced missing values are filled with
+        ``self.dtype.na_value``.
+
+        .. versionadded:: 0.24.0
+
+        Parameters
+        ----------
+        periods : int, default 1
+            The number of periods to shift. Negative values are allowed
+            for shifting backwards.
+
+        Returns
+        -------
+        shifted : ExtensionArray
+        """
+        # Note: this implementation assumes that `self.dtype.na_value` can be
+        # stored in an instance of your ExtensionArray with `self.dtype`.
+        if periods == 0:
+            return self.copy()
+        empty = self._from_sequence([self.dtype.na_value] * abs(periods),
+                                    dtype=self.dtype)
+        if periods > 0:
+            a = empty
+            b = self[:-periods]
+        else:
+            a = self[abs(periods):]
+            b = empty
+        return self._concat_same_type([a, b])
+
     def unique(self):
         """Compute the ExtensionArray of unique values.
 
diff --git a/pandas/core/internals/blocks.py b/pandas/core/internals/blocks.py
index 57d09ff33d8b4..e735b35653cd4 100644
--- a/pandas/core/internals/blocks.py
+++ b/pandas/core/internals/blocks.py
@@ -2068,6 +2068,18 @@ def interpolate(self, method='pad', axis=0, inplace=False, limit=None,
                                  limit=limit),
             placement=self.mgr_locs)
 
+    def shift(self, periods, axis=0, mgr=None):
+        """
+        Shift the block by `periods`.
+
+        Dispatches to underlying ExtensionArray and re-boxes in an
+        ExtensionBlock.
+        """
+        # type: (int, Optional[BlockPlacement]) -> List[ExtensionBlock]
+        return [self.make_block_same_class(self.values.shift(periods=periods),
+                                           placement=self.mgr_locs,
+                                           ndim=self.ndim)]
+
 
 class NumericBlock(Block):
     __slots__ = ()
@@ -2691,10 +2703,6 @@ def _try_coerce_result(self, result):
 
         return result
 
-    def shift(self, periods, axis=0, mgr=None):
-        return self.make_block_same_class(values=self.values.shift(periods),
-                                          placement=self.mgr_locs)
-
     def to_dense(self):
         # Categorical.get_values returns a DatetimeIndex for datetime
         # categories, so we can't simply use `np.asarray(self.values)` like
diff --git a/pandas/tests/extension/base/methods.py b/pandas/tests/extension/base/methods.py
index c660687f16590..c8656808739c4 100644
--- a/pandas/tests/extension/base/methods.py
+++ b/pandas/tests/extension/base/methods.py
@@ -138,3 +138,28 @@ def test_combine_add(self, data_repeated):
         expected = pd.Series(
             orig_data1._from_sequence([a + val for a in list(orig_data1)]))
         self.assert_series_equal(result, expected)
+
+    @pytest.mark.parametrize('frame', [True, False])
+    @pytest.mark.parametrize('periods, indices', [
+        (-2, [2, 3, 4, -1, -1]),
+        (0, [0, 1, 2, 3, 4]),
+        (2, [-1, -1, 0, 1, 2]),
+    ])
+    def test_container_shift(self, data, frame, periods, indices):
+        # https://github.com/pandas-dev/pandas/issues/22386
+        subset = data[:5]
+        data = pd.Series(subset, name='A')
+        expected = pd.Series(subset.take(indices, allow_fill=True), name='A')
+
+        if frame:
+            result = data.to_frame(name='A').assign(B=1).shift(periods)
+            expected = pd.concat([
+                expected,
+                pd.Series([1] * 5, name='B').shift(periods)
+            ], axis=1)
+            compare = self.assert_frame_equal
+        else:
+            result = data.shift(periods)
+            compare = self.assert_series_equal
+
+        compare(result, expected)