diff --git a/doc/source/whatsnew/v2.0.0.rst b/doc/source/whatsnew/v2.0.0.rst
index 605f1d4b26e13..c42f02c0be780 100644
--- a/doc/source/whatsnew/v2.0.0.rst
+++ b/doc/source/whatsnew/v2.0.0.rst
@@ -616,6 +616,7 @@ Deprecations
 - :meth:`Index.is_floating` has been deprecated. Use :func:`pandas.api.types.is_float_dtype` instead (:issue:`50042`)
 - :meth:`Index.holds_integer` has been deprecated. Use :func:`pandas.api.types.infer_dtype` instead (:issue:`50243`)
 - :meth:`Index.is_categorical` has been deprecated. Use :func:`pandas.api.types.is_categorical_dtype` instead (:issue:`50042`)
+- :meth:`Index.is_interval` has been deprecated. Use :func:`pandas.api.types.is_intterval_dtype` instead (:issue:`50042`)
 
 .. ---------------------------------------------------------------------------
 .. _whatsnew_200.prior_deprecations:
diff --git a/pandas/core/indexes/base.py b/pandas/core/indexes/base.py
index fc2c51166a737..62af72685a3e9 100644
--- a/pandas/core/indexes/base.py
+++ b/pandas/core/indexes/base.py
@@ -2209,7 +2209,7 @@ def is_boolean(self) -> bool:
         is_numeric : Check if the Index only consists of numeric data.
         is_object : Check if the Index is of the object dtype.
         is_categorical : Check if the Index holds categorical data.
-        is_interval : Check if the Index holds Interval objects.
+        is_interval : Check if the Index holds Interval objects (deprecated).
 
         Examples
         --------
@@ -2253,7 +2253,7 @@ def is_integer(self) -> bool:
         is_numeric : Check if the Index only consists of numeric data.
         is_object : Check if the Index is of the object dtype.
         is_categorical : Check if the Index holds categorical data (deprecated).
-        is_interval : Check if the Index holds Interval objects.
+        is_interval : Check if the Index holds Interval objects (deprecated).
 
         Examples
         --------
@@ -2301,7 +2301,7 @@ def is_floating(self) -> bool:
         is_numeric : Check if the Index only consists of numeric data.
         is_object : Check if the Index is of the object dtype.
         is_categorical : Check if the Index holds categorical data (deprecated).
-        is_interval : Check if the Index holds Interval objects.
+        is_interval : Check if the Index holds Interval objects (deprecated).
 
         Examples
         --------
@@ -2346,7 +2346,7 @@ def is_numeric(self) -> bool:
         is_floating : Check if the Index is a floating type (deprecated).
         is_object : Check if the Index is of the object dtype.
         is_categorical : Check if the Index holds categorical data (deprecated).
-        is_interval : Check if the Index holds Interval objects.
+        is_interval : Check if the Index holds Interval objects (deprecated).
 
         Examples
         --------
@@ -2389,7 +2389,7 @@ def is_object(self) -> bool:
         is_floating : Check if the Index is a floating type (deprecated).
         is_numeric : Check if the Index only consists of numeric data.
         is_categorical : Check if the Index holds categorical data (deprecated).
-        is_interval : Check if the Index holds Interval objects.
+        is_interval : Check if the Index holds Interval objects (deprecated).
 
         Examples
         --------
@@ -2433,7 +2433,7 @@ def is_categorical(self) -> bool:
         is_floating : Check if the Index is a floating type (deprecated).
         is_numeric : Check if the Index only consists of numeric data.
         is_object : Check if the Index is of the object dtype.
-        is_interval : Check if the Index holds Interval objects.
+        is_interval : Check if the Index holds Interval objects (deprecated).
 
         Examples
         --------
@@ -2470,6 +2470,9 @@ def is_interval(self) -> bool:
         """
         Check if the Index holds Interval objects.
 
+        .. deprecated:: 2.0.0
+            Use `pandas.api.types.is_interval_dtype` instead.
+
         Returns
         -------
         bool
@@ -2496,6 +2499,12 @@ def is_interval(self) -> bool:
         >>> idx.is_interval()
         False
         """
+        warnings.warn(
+            f"{type(self).__name__}.is_interval is deprecated."
+            "Use pandas.api.types.is_interval_dtype instead",
+            FutureWarning,
+            stacklevel=find_stack_level(),
+        )
         return self.inferred_type in ["interval"]
 
     @final
diff --git a/pandas/tests/indexes/common.py b/pandas/tests/indexes/common.py
index cb17e7529ec7b..cd4cf9dd61b97 100644
--- a/pandas/tests/indexes/common.py
+++ b/pandas/tests/indexes/common.py
@@ -823,6 +823,12 @@ def test_is_categorical_is_deprecated(self, simple_index):
         ):
             idx.is_categorical()
 
+    def test_is_interval_is_deprecated(self, simple_index):
+        # GH50042
+        idx = simple_index
+        with tm.assert_produces_warning(FutureWarning):
+            idx.is_interval()
+
 
 class NumericBase(Base):
     """