diff --git a/MdePkg/Library/UefiDebugLibStdErr/DebugLib.c b/MdePkg/Library/UefiDebugLibStdErr/DebugLib.c
index 7acbee5900..18f651c194 100644
--- a/MdePkg/Library/UefiDebugLibStdErr/DebugLib.c
+++ b/MdePkg/Library/UefiDebugLibStdErr/DebugLib.c
@@ -35,8 +35,8 @@
 VOID
 EFIAPI
 DebugPrint (
-  IN  UINTN ErrorLevel,
-  IN  CHAR8 *Format,
+  IN  UINTN        ErrorLevel,
+  IN  CONST CHAR8  *Format,
   ...
   )
 {
@@ -97,9 +97,9 @@ DebugPrint (
 VOID
 EFIAPI
 DebugAssert (
-  IN CHAR8  *FileName,
-  IN INTN   LineNumber,
-  IN CHAR8  *Description
+  IN CONST CHAR8  *FileName,
+  IN INTN         LineNumber,
+  IN CONST CHAR8  *Description
   )
 {
   CHAR16  Buffer[MAX_DEBUG_MESSAGE_LENGTH];