diff --git a/doc/source/whatsnew/v3.0.0.rst b/doc/source/whatsnew/v3.0.0.rst
index 65982ecdb810c..d0a2ab14d8146 100644
--- a/doc/source/whatsnew/v3.0.0.rst
+++ b/doc/source/whatsnew/v3.0.0.rst
@@ -1127,6 +1127,7 @@ Interval
 - :meth:`Index.is_monotonic_decreasing`, :meth:`Index.is_monotonic_increasing`, and :meth:`Index.is_unique` could incorrectly be ``False`` for an ``Index`` created from a slice of another ``Index``. (:issue:`57911`)
 - Bug in :class:`Index`, :class:`Series`, :class:`DataFrame` constructors when given a sequence of :class:`Interval` subclass objects casting them to :class:`Interval` (:issue:`46945`)
 - Bug in :func:`interval_range` where start and end numeric types were always cast to 64 bit (:issue:`57268`)
+- Bug in :func:`pandas.interval_range` incorrectly inferring ``int64`` dtype when ``np.float32`` and ``int`` are used for ``start`` and ``freq`` (:issue:`58964`)
 - Bug in :meth:`IntervalIndex.get_indexer` and :meth:`IntervalIndex.drop` when one of the sides of the index is non-unique (:issue:`52245`)
 - Construction of :class:`IntervalArray` and :class:`IntervalIndex` from arrays with mismatched signed/unsigned integer dtypes (e.g., ``int64`` and ``uint64``) now raises a :exc:`TypeError` instead of proceeding silently. (:issue:`55715`)
 
diff --git a/pandas/core/indexes/interval.py b/pandas/core/indexes/interval.py
index a4a6230337add..e1408e3e41762 100644
--- a/pandas/core/indexes/interval.py
+++ b/pandas/core/indexes/interval.py
@@ -1420,9 +1420,9 @@ def interval_range(
         dtype: np.dtype = np.dtype("int64")
         if com.all_not_none(start, end, freq):
             if (
-                isinstance(start, (float, np.float16))
-                or isinstance(end, (float, np.float16))
-                or isinstance(freq, (float, np.float16))
+                isinstance(start, (float, np.floating))
+                or isinstance(end, (float, np.floating))
+                or isinstance(freq, (float, np.floating))
             ):
                 dtype = np.dtype("float64")
             elif (
diff --git a/pandas/tests/indexes/interval/test_interval_range.py b/pandas/tests/indexes/interval/test_interval_range.py
index 5252b85ad8d0e..8cfc9884233a1 100644
--- a/pandas/tests/indexes/interval/test_interval_range.py
+++ b/pandas/tests/indexes/interval/test_interval_range.py
@@ -225,7 +225,7 @@ def test_float_subtype(self, start, end, freq):
         [
             (np.int8(1), np.int8(10), np.dtype("int8")),
             (np.int8(1), np.float16(10), np.dtype("float64")),
-            (np.float32(1), np.float32(10), np.dtype("float32")),
+            (np.float32(1), np.float32(10), np.dtype("float64")),
             (1, 10, np.dtype("int64")),
             (1, 10.0, np.dtype("float64")),
         ],
@@ -380,3 +380,13 @@ def test_float_freq(self):
         result = interval_range(0, 1, freq=0.6)
         expected = IntervalIndex.from_breaks([0, 0.6])
         tm.assert_index_equal(result, expected)
+
+    def test_interval_range_float32_start_int_freq(self):
+        # GH 58964
+        from pandas.testing import assert_index_equal
+
+        result = interval_range(start=np.float32(0), end=2, freq=1)
+        expected = IntervalIndex.from_tuples(
+            [(0.0, 1.0), (1.0, 2.0)], dtype="interval[float64, right]"
+        )
+        assert_index_equal(result, expected)