diff --git a/library/core/src/cmp.rs b/library/core/src/cmp.rs
index e775ded60f593..e11c2a08d0ebf 100644
--- a/library/core/src/cmp.rs
+++ b/library/core/src/cmp.rs
@@ -356,8 +356,9 @@ impl Ordering {
     /// ```
     #[inline]
     #[must_use]
+    #[rustc_const_stable(feature = "const_ordering", since = "1.48.0")]
     #[stable(feature = "rust1", since = "1.0.0")]
-    pub fn reverse(self) -> Ordering {
+    pub const fn reverse(self) -> Ordering {
         match self {
             Less => Greater,
             Equal => Equal,
@@ -394,8 +395,9 @@ impl Ordering {
     /// ```
     #[inline]
     #[must_use]
+    #[rustc_const_stable(feature = "const_ordering", since = "1.48.0")]
     #[stable(feature = "ordering_chaining", since = "1.17.0")]
-    pub fn then(self, other: Ordering) -> Ordering {
+    pub const fn then(self, other: Ordering) -> Ordering {
         match self {
             Equal => other,
             _ => self,
diff --git a/src/test/ui/consts/const-ordering.rs b/src/test/ui/consts/const-ordering.rs
new file mode 100644
index 0000000000000..454f2da00df9e
--- /dev/null
+++ b/src/test/ui/consts/const-ordering.rs
@@ -0,0 +1,15 @@
+// run-pass
+
+use std::cmp::Ordering;
+
+// the following methods of core::cmp::Ordering are const:
+//  - reverse
+//  - then
+
+fn main() {
+    const REVERSE : Ordering = Ordering::Greater.reverse();
+    assert_eq!(REVERSE, Ordering::Less);
+
+    const THEN : Ordering = Ordering::Equal.then(REVERSE);
+    assert_eq!(THEN, Ordering::Less);
+}