diff --git a/python/pyarrow/_compute.pyx b/python/pyarrow/_compute.pyx
index 63e6fffc782..02855ee78aa 100644
--- a/python/pyarrow/_compute.pyx
+++ b/python/pyarrow/_compute.pyx
@@ -558,7 +558,10 @@ cdef class FunctionOptions(_Weakrefable):
         return options
 
     def __repr__(self):
-        return frombytes(self.get_options().ToString())
+        type_name = self.__class__.__name__
+        # Remove {} so we can use our own braces
+        string_repr = frombytes(self.get_options().ToString())[1:-1]
+        return f"{type_name}({string_repr})"
 
     def __eq__(self, FunctionOptions other):
         return self.get_options().Equals(deref(other.get_options()))
diff --git a/python/pyarrow/includes/libarrow.pxd b/python/pyarrow/includes/libarrow.pxd
index 07983b79f40..5057eadbb43 100644
--- a/python/pyarrow/includes/libarrow.pxd
+++ b/python/pyarrow/includes/libarrow.pxd
@@ -1756,6 +1756,7 @@ cdef extern from "arrow/compute/api.h" namespace "arrow::compute" nogil:
 
     cdef cppclass CFunctionOptions" arrow::compute::FunctionOptions":
         const CFunctionOptionsType* options_type() const
+        const char* type_name() const
         c_bool Equals(const CFunctionOptions& other)
         c_string ToString()
         CResult[shared_ptr[CBuffer]] Serialize() const
diff --git a/python/pyarrow/tests/test_compute.py b/python/pyarrow/tests/test_compute.py
index 6370a5d94e2..35b37d82f95 100644
--- a/python/pyarrow/tests/test_compute.py
+++ b/python/pyarrow/tests/test_compute.py
@@ -137,7 +137,7 @@ def test_option_class_equality():
                 pytest.fail(f"Options class is not tested: {cls}")
     for option in options:
         assert option == option
-        assert repr(option)
+        assert repr(option).startswith(option.__class__.__name__)
         buf = option.serialize()
         deserialized = pc.FunctionOptions.deserialize(buf)
         assert option == deserialized
@@ -145,6 +145,9 @@ def test_option_class_equality():
     for option1, option2 in zip(options, options[1:]):
         assert option1 != option2
 
+    assert repr(pc.IndexOptions(pa.scalar(1))) == "IndexOptions(value=int64:1)"
+    assert repr(pc.ArraySortOptions()) == "ArraySortOptions(order=Ascending)"
+
 
 def test_list_functions():
     assert len(pc.list_functions()) > 10