diff --git a/ci/code_checks.sh b/ci/code_checks.sh
index 45df480779ee7..2d307859eb7a1 100755
--- a/ci/code_checks.sh
+++ b/ci/code_checks.sh
@@ -524,6 +524,7 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         pandas.api.extensions.ExtensionArray.insert \
         pandas.api.extensions.ExtensionArray.isin \
         pandas.api.extensions.ExtensionArray.isna \
+        pandas.api.extensions.ExtensionArray.map \
         pandas.api.extensions.ExtensionArray.ravel \
         pandas.api.extensions.ExtensionArray.searchsorted \
         pandas.api.extensions.ExtensionArray.shift \
diff --git a/doc/source/reference/extensions.rst b/doc/source/reference/extensions.rst
index b33efd388bd60..f25f0f5bc21fa 100644
--- a/doc/source/reference/extensions.rst
+++ b/doc/source/reference/extensions.rst
@@ -53,6 +53,7 @@ objects.
       api.extensions.ExtensionArray.insert
       api.extensions.ExtensionArray.isin
       api.extensions.ExtensionArray.isna
+      api.extensions.ExtensionArray.map
       api.extensions.ExtensionArray.ravel
       api.extensions.ExtensionArray.repeat
       api.extensions.ExtensionArray.searchsorted
diff --git a/pandas/core/arrays/base.py b/pandas/core/arrays/base.py
index a5032c590300c..d583a68ab4e0b 100644
--- a/pandas/core/arrays/base.py
+++ b/pandas/core/arrays/base.py
@@ -1719,6 +1719,12 @@ def map(self, mapper, na_action=None):
             The output of the mapping function applied to the array.
             If the function returns a tuple with more than one element
             a MultiIndex will be returned.
+
+        Examples
+        --------
+        >>> ext_arr = pd.array([1, 2, 3])
+        >>> ext_arr.map(str)
+        array(['1', '2', '3'], dtype=object)
         """
         return map_array(self, mapper, na_action=na_action)