diff --git a/doc/source/whatsnew/v1.0.0.rst b/doc/source/whatsnew/v1.0.0.rst
index 3c368eabadd1b..e54397e635c77 100644
--- a/doc/source/whatsnew/v1.0.0.rst
+++ b/doc/source/whatsnew/v1.0.0.rst
@@ -407,6 +407,7 @@ or ``matplotlib.Axes.plot``. See :ref:`plotting.formatters` for more.
 - Removed the previously deprecated "fastpath" keyword from the :class:`Index` constructor (:issue:`23110`)
 - Removed the previously deprecated :meth:`Series.get_value`, :meth:`Series.set_value`, :meth:`DataFrame.get_value`, :meth:`DataFrame.set_value` (:issue:`17739`)
 - Changed the the default value of `inplace` in :meth:`DataFrame.set_index` and :meth:`Series.set_axis`. It now defaults to False (:issue:`27600`)
+- Removed the previously deprecated :attr:`Series.cat.categorical`, :attr:`Series.cat.index`, :attr:`Series.cat.name` (:issue:`24751`)
 - Removed support for nested renaming in :meth:`DataFrame.aggregate`, :meth:`Series.aggregate`, :meth:`DataFrameGroupBy.aggregate`, :meth:`SeriesGroupBy.aggregate`, :meth:`Rolling.aggregate` (:issue:`18529`)
 - Passing ``datetime64`` data to :class:`TimedeltaIndex` or ``timedelta64`` data to ``DatetimeIndex`` now raises ``TypeError`` (:issue:`23539`, :issue:`23937`)
 - A tuple passed to :meth:`DataFrame.groupby` is now exclusively treated as a single key (:issue:`18314`)
diff --git a/pandas/core/arrays/categorical.py b/pandas/core/arrays/categorical.py
index 6cc3f660fb425..f20308be1ee09 100644
--- a/pandas/core/arrays/categorical.py
+++ b/pandas/core/arrays/categorical.py
@@ -2583,43 +2583,6 @@ def _delegate_method(self, name, *args, **kwargs):
         if res is not None:
             return Series(res, index=self._index, name=self._name)
 
-    @property
-    def categorical(self):
-        # Note: Upon deprecation, `test_tab_completion_with_categorical` will
-        # need to be updated. `categorical` will need to be removed from
-        # `ok_for_cat`.
-        warn(
-            "`Series.cat.categorical` has been deprecated. Use the "
-            "attributes on 'Series.cat' directly instead.",
-            FutureWarning,
-            stacklevel=2,
-        )
-        return self._parent
-
-    @property
-    def name(self):
-        # Note: Upon deprecation, `test_tab_completion_with_categorical` will
-        # need to be updated. `name` will need to be removed from
-        # `ok_for_cat`.
-        warn(
-            "`Series.cat.name` has been deprecated. Use `Series.name` instead.",
-            FutureWarning,
-            stacklevel=2,
-        )
-        return self._name
-
-    @property
-    def index(self):
-        # Note: Upon deprecation, `test_tab_completion_with_categorical` will
-        # need to be updated. `index` will need to be removed from
-        # ok_for_cat`.
-        warn(
-            "`Series.cat.index` has been deprecated. Use `Series.index` instead.",
-            FutureWarning,
-            stacklevel=2,
-        )
-        return self._index
-
 
 # utility routines
 
diff --git a/pandas/tests/arrays/categorical/test_warnings.py b/pandas/tests/arrays/categorical/test_warnings.py
index 53733770ed954..29bd5252dbe3a 100644
--- a/pandas/tests/arrays/categorical/test_warnings.py
+++ b/pandas/tests/arrays/categorical/test_warnings.py
@@ -1,6 +1,5 @@
 import pytest
 
-import pandas as pd
 import pandas.util.testing as tm
 
 
@@ -15,15 +14,3 @@ def test_tab_complete_warning(self, ip):
         with tm.assert_produces_warning(None):
             with provisionalcompleter("ignore"):
                 list(ip.Completer.completions("c.", 1))
-
-    def test_CategoricalAccessor_categorical_deprecation(self):
-        with tm.assert_produces_warning(FutureWarning):
-            pd.Series(["a", "b"], dtype="category").cat.categorical
-
-    def test_CategoricalAccessor_name_deprecation(self):
-        with tm.assert_produces_warning(FutureWarning):
-            pd.Series(["a", "b"], dtype="category").cat.name
-
-    def test_CategoricalAccessor_index_deprecation(self):
-        with tm.assert_produces_warning(FutureWarning):
-            pd.Series(["a", "b"], dtype="category").cat.index