diff --git a/python/pyarrow/_compute_docstrings.py b/python/pyarrow/_compute_docstrings.py
index 150dbdb1175..4b690dd1c57 100644
--- a/python/pyarrow/_compute_docstrings.py
+++ b/python/pyarrow/_compute_docstrings.py
@@ -54,3 +54,105 @@
     >>> modes[1]
     <pyarrow.StructScalar: [('mode', 1), ('count', 2)]>
     """
+
+function_doc_additions["min"] = """
+    Examples
+    --------
+    >>> import pyarrow as pa
+    >>> import pyarrow.compute as pc
+    >>> arr1 = pa.array([1, 1, 2, 2, 3, 2, 2, 2])
+    >>> pc.min(arr1)
+    <pyarrow.Int64Scalar: 1>
+
+    Using ``skip_nulls`` to handle null values.
+
+    >>> arr2 = pa.array([1.0, None, 2.0, 3.0])
+    >>> pc.min(arr2)
+    <pyarrow.DoubleScalar: 1.0>
+    >>> pc.min(arr2, skip_nulls=False)
+    <pyarrow.DoubleScalar: None>
+
+    Using ``ScalarAggregateOptions`` to control minimum number of non-null values.
+
+    >>> arr3 = pa.array([1.0, None, float("nan"), 3.0])
+    >>> pc.min(arr3)
+    <pyarrow.DoubleScalar: 1.0>
+    >>> pc.min(arr3, options=pc.ScalarAggregateOptions(min_count=3))
+    <pyarrow.DoubleScalar: 1.0>
+    >>> pc.min(arr3, options=pc.ScalarAggregateOptions(min_count=4))
+    <pyarrow.DoubleScalar: None>
+
+    This function also works with string values.
+
+    >>> arr4 = pa.array(["z", None, "y", "x"])
+    >>> pc.min(arr4)
+    <pyarrow.StringScalar: 'x'>
+    """
+
+function_doc_additions["max"] = """
+    Examples
+    --------
+    >>> import pyarrow as pa
+    >>> import pyarrow.compute as pc
+    >>> arr1 = pa.array([1, 1, 2, 2, 3, 2, 2, 2])
+    >>> pc.max(arr1)
+    <pyarrow.Int64Scalar: 3>
+
+    Using ``skip_nulls`` to handle null values.
+
+    >>> arr2 = pa.array([1.0, None, 2.0, 3.0])
+    >>> pc.max(arr2)
+    <pyarrow.DoubleScalar: 3.0>
+    >>> pc.max(arr2, skip_nulls=False)
+    <pyarrow.DoubleScalar: None>
+
+    Using ``ScalarAggregateOptions`` to control minimum number of non-null values.
+
+    >>> arr3 = pa.array([1.0, None, float("nan"), 3.0])
+    >>> pc.max(arr3)
+    <pyarrow.DoubleScalar: 3.0>
+    >>> pc.max(arr3, options=pc.ScalarAggregateOptions(min_count=3))
+    <pyarrow.DoubleScalar: 3.0>
+    >>> pc.max(arr3, options=pc.ScalarAggregateOptions(min_count=4))
+    <pyarrow.DoubleScalar: None>
+
+    This function also works with string values.
+
+    >>> arr4 = pa.array(["z", None, "y", "x"])
+    >>> pc.max(arr4)
+    <pyarrow.StringScalar: 'z'>
+    """
+
+function_doc_additions["min_max"] = """
+    Examples
+    --------
+    >>> import pyarrow as pa
+    >>> import pyarrow.compute as pc
+    >>> arr1 = pa.array([1, 1, 2, 2, 3, 2, 2, 2])
+    >>> pc.min_max(arr1)
+    <pyarrow.StructScalar: [('min', 1), ('max', 3)]>
+
+    Using ``skip_nulls`` to handle null values.
+
+    >>> arr2 = pa.array([1.0, None, 2.0, 3.0])
+    >>> pc.min_max(arr2)
+    <pyarrow.StructScalar: [('min', 1.0), ('max', 3.0)]>
+    >>> pc.min_max(arr2, skip_nulls=False)
+    <pyarrow.StructScalar: [('min', None), ('max', None)]>
+
+    Using ``ScalarAggregateOptions`` to control minimum number of non-null values.
+
+    >>> arr3 = pa.array([1.0, None, float("nan"), 3.0])
+    >>> pc.min_max(arr3)
+    <pyarrow.StructScalar: [('min', 1.0), ('max', 3.0)]>
+    >>> pc.min_max(arr3, options=pc.ScalarAggregateOptions(min_count=3))
+    <pyarrow.StructScalar: [('min', 1.0), ('max', 3.0)]>
+    >>> pc.min_max(arr3, options=pc.ScalarAggregateOptions(min_count=4))
+    <pyarrow.StructScalar: [('min', None), ('max', None)]>
+
+    This function also works with string values.
+
+    >>> arr4 = pa.array(["z", None, "y", "x"])
+    >>> pc.min_max(arr4)
+    <pyarrow.StructScalar: [('min', 'x'), ('max', 'z')]>
+    """
diff --git a/python/pyarrow/tests/test_compute.py b/python/pyarrow/tests/test_compute.py
index c6b17e4791d..d8a1c4d093e 100644
--- a/python/pyarrow/tests/test_compute.py
+++ b/python/pyarrow/tests/test_compute.py
@@ -883,6 +883,38 @@ def test_generated_docstrings():
             Alternative way of passing options.
         memory_pool : pyarrow.MemoryPool, optional
             If not passed, will allocate memory from the default memory pool.
+
+        Examples
+        --------
+        >>> import pyarrow as pa
+        >>> import pyarrow.compute as pc
+        >>> arr1 = pa.array([1, 1, 2, 2, 3, 2, 2, 2])
+        >>> pc.min_max(arr1)
+        <pyarrow.StructScalar: [('min', 1), ('max', 3)]>
+
+        Using ``skip_nulls`` to handle null values.
+
+        >>> arr2 = pa.array([1.0, None, 2.0, 3.0])
+        >>> pc.min_max(arr2)
+        <pyarrow.StructScalar: [('min', 1.0), ('max', 3.0)]>
+        >>> pc.min_max(arr2, skip_nulls=False)
+        <pyarrow.StructScalar: [('min', None), ('max', None)]>
+
+        Using ``ScalarAggregateOptions`` to control minimum number of non-null values.
+
+        >>> arr3 = pa.array([1.0, None, float("nan"), 3.0])
+        >>> pc.min_max(arr3)
+        <pyarrow.StructScalar: [('min', 1.0), ('max', 3.0)]>
+        >>> pc.min_max(arr3, options=pc.ScalarAggregateOptions(min_count=3))
+        <pyarrow.StructScalar: [('min', 1.0), ('max', 3.0)]>
+        >>> pc.min_max(arr3, options=pc.ScalarAggregateOptions(min_count=4))
+        <pyarrow.StructScalar: [('min', None), ('max', None)]>
+
+        This function also works with string values.
+
+        >>> arr4 = pa.array(["z", None, "y", "x"])
+        >>> pc.min_max(arr4)
+        <pyarrow.StructScalar: [('min', 'x'), ('max', 'z')]>
         """)
     # Without options
     assert pc.add.__doc__ == textwrap.dedent("""\