diff --git a/template/limits.c.tmpl b/template/limits.c.tmpl
index 6b7610a030..de35354829 100644
--- a/template/limits.c.tmpl
+++ b/template/limits.c.tmpl
@@ -93,4 +93,5 @@ Init_limits(void)
 #undef DEFINE
 #undef MIN2NUM
 #undef MAX2NUM
+    OBJ_FREEZE(h);
 }
diff --git a/template/sizes.c.tmpl b/template/sizes.c.tmpl
index 75c1ff22c9..0fc8fe8218 100644
--- a/template/sizes.c.tmpl
+++ b/template/sizes.c.tmpl
@@ -47,7 +47,8 @@ Init_sizeof(void)
     DEFINE(<%= type %>, <%= type.tr_cpp %>);
 #endif
 % end
+    OBJ_FREEZE(s);
 
 #undef DEFINE
-      Init_limits();
+    Init_limits();
 }