diff --git a/Lib/test/test_long.py b/Lib/test/test_long.py
index e53fd05..5addd2e 100644
--- a/Lib/test/test_long.py
+++ b/Lib/test/test_long.py
@@ -279,6 +279,10 @@
         self.assertEqual(long(314), 314L)
         self.assertEqual(long(3.14), 3L)
         self.assertEqual(long(314L), 314L)
+        # Check that long() of basic types actually returns a long
+        self.assertEqual(type(long(314)), long)
+        self.assertEqual(type(long(3.14)), long)
+        self.assertEqual(type(long(314L)), long)
         # Check that conversion from float truncates towards zero
         self.assertEqual(long(-3.14), -3L)
         self.assertEqual(long(3.9), 3L)
diff --git a/Misc/NEWS b/Misc/NEWS
index b7da5f1..6624521 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -12,6 +12,11 @@
 Core and Builtins
 -----------------
 
+- Issue #3777: long() applied to a float object now always return a long
+  object; previously an int would be returned for small values. the __long__
+  method is allowed to return either an int or a long, but the behaviour of
+  float objects should not change to respect backward compatibility.
+
 - Issue #3751: str.rpartition would perform a left-partition when called with
   a unicode argument.
 
diff --git a/Objects/floatobject.c b/Objects/floatobject.c
index 0b067eb..cb38800 100644
--- a/Objects/floatobject.c
+++ b/Objects/floatobject.c
@@ -1105,6 +1105,13 @@
 }
 
 static PyObject *
+float_long(PyObject *v)
+{
+	double x = PyFloat_AsDouble(v);
+	return PyLong_FromDouble(x);
+}
+
+static PyObject *
 float_float(PyObject *v)
 {
 	if (PyFloat_CheckExact(v))
@@ -1897,7 +1904,7 @@
 	0,		/*nb_or*/
 	float_coerce, 	/*nb_coerce*/
 	float_trunc, 	/*nb_int*/
-	float_trunc, 	/*nb_long*/
+	float_long, 	/*nb_long*/
 	float_float,	/*nb_float*/
 	0,		/* nb_oct */
 	0,		/* nb_hex */