diff --git a/doc/source/whatsnew/v2.0.0.rst b/doc/source/whatsnew/v2.0.0.rst
index 0004bc92b349e..288504c4f2b99 100644
--- a/doc/source/whatsnew/v2.0.0.rst
+++ b/doc/source/whatsnew/v2.0.0.rst
@@ -49,6 +49,7 @@ Other enhancements
 - Fix ``test`` optional_extra by adding missing test package ``pytest-asyncio`` (:issue:`48361`)
 - :func:`DataFrame.astype` exception message thrown improved to include column name when type conversion is not possible. (:issue:`47571`)
 - :meth:`DataFrame.to_json` now supports a ``mode`` keyword with supported inputs 'w' and 'a'. Defaulting to 'w', 'a' can be used when lines=True and orient='records' to append record oriented json lines to an existing json file. (:issue:`35849`)
+- Added ``name`` parameter to :meth:`IntervalIndex.from_breaks`, :meth:`IntervalIndex.from_arrays` and :meth:`IntervalIndex.from_tuples` (:issue:`48911`)
 
 .. ---------------------------------------------------------------------------
 .. _whatsnew_200.notable_bug_fixes:
diff --git a/pandas/core/arrays/interval.py b/pandas/core/arrays/interval.py
index 2bc6c9174af81..5e888f4babc95 100644
--- a/pandas/core/arrays/interval.py
+++ b/pandas/core/arrays/interval.py
@@ -383,7 +383,8 @@ def _from_factorized(
             Left and right bounds for each interval.
         closed : {'left', 'right', 'both', 'neither'}, default 'right'
             Whether the intervals are closed on the left-side, right-side, both
-            or neither.
+            or neither.\
+        %(name)s
         copy : bool, default False
             Copy the data.
         dtype : dtype or None, default None
@@ -408,6 +409,7 @@ def _from_factorized(
         _interval_shared_docs["from_breaks"]
         % {
             "klass": "IntervalArray",
+            "name": "",
             "examples": textwrap.dedent(
                 """\
         Examples
@@ -443,7 +445,8 @@ def from_breaks(
             Right bounds for each interval.
         closed : {'left', 'right', 'both', 'neither'}, default 'right'
             Whether the intervals are closed on the left-side, right-side, both
-            or neither.
+            or neither.\
+        %(name)s
         copy : bool, default False
             Copy the data.
         dtype : dtype, optional
@@ -485,6 +488,7 @@ def from_breaks(
         _interval_shared_docs["from_arrays"]
         % {
             "klass": "IntervalArray",
+            "name": "",
             "examples": textwrap.dedent(
                 """\
         >>> pd.arrays.IntervalArray.from_arrays([0, 1, 2], [1, 2, 3])
@@ -520,7 +524,8 @@ def from_arrays(
             Array of tuples.
         closed : {'left', 'right', 'both', 'neither'}, default 'right'
             Whether the intervals are closed on the left-side, right-side, both
-            or neither.
+            or neither.\
+        %(name)s
         copy : bool, default False
             By-default copy the data, this is compat only and ignored.
         dtype : dtype or None, default None
@@ -547,6 +552,7 @@ def from_arrays(
         _interval_shared_docs["from_tuples"]
         % {
             "klass": "IntervalArray",
+            "name": "",
             "examples": textwrap.dedent(
                 """\
         Examples
diff --git a/pandas/core/indexes/interval.py b/pandas/core/indexes/interval.py
index 8507280a6cc8d..fa10aee4b6c72 100644
--- a/pandas/core/indexes/interval.py
+++ b/pandas/core/indexes/interval.py
@@ -236,6 +236,11 @@ def __new__(
         _interval_shared_docs["from_breaks"]
         % {
             "klass": "IntervalIndex",
+            "name": textwrap.dedent(
+                """
+             name : str, optional
+                  Name of the resulting IntervalIndex."""
+            ),
             "examples": textwrap.dedent(
                 """\
         Examples
@@ -266,6 +271,11 @@ def from_breaks(
         _interval_shared_docs["from_arrays"]
         % {
             "klass": "IntervalIndex",
+            "name": textwrap.dedent(
+                """
+             name : str, optional
+                  Name of the resulting IntervalIndex."""
+            ),
             "examples": textwrap.dedent(
                 """\
         Examples
@@ -297,6 +307,11 @@ def from_arrays(
         _interval_shared_docs["from_tuples"]
         % {
             "klass": "IntervalIndex",
+            "name": textwrap.dedent(
+                """
+             name : str, optional
+                  Name of the resulting IntervalIndex."""
+            ),
             "examples": textwrap.dedent(
                 """\
         Examples