diff --git a/Include/pylifecycle.h b/Include/pylifecycle.h
index 5419bc94324..1df114a73de 100644
--- a/Include/pylifecycle.h
+++ b/Include/pylifecycle.h
@@ -12,7 +12,9 @@ extern "C" {
 PyAPI_FUNC(void) Py_Initialize(void);
 PyAPI_FUNC(void) Py_InitializeEx(int);
 PyAPI_FUNC(void) Py_Finalize(void);
+#if !defined(Py_LIMITED_API) || Py_LIMITED_API+0 >= 0x03060000
 PyAPI_FUNC(int) Py_FinalizeEx(void);
+#endif
 PyAPI_FUNC(int) Py_IsInitialized(void);
 
 /* Subinterpreter support */
diff --git a/Misc/NEWS.d/next/C API/2018-11-22-13-52-36.bpo-35259.p07c61.rst b/Misc/NEWS.d/next/C API/2018-11-22-13-52-36.bpo-35259.p07c61.rst
new file mode 100644
index 00000000000..1f4801cbfb7
--- /dev/null
+++ b/Misc/NEWS.d/next/C API/2018-11-22-13-52-36.bpo-35259.p07c61.rst	
@@ -0,0 +1,2 @@
+Conditionally declare :c:func:`Py_FinalizeEx()` (new in 3.6) based on
+Py_LIMITED_API. Patch by Arthur Neufeld.