diff --git a/src/librustc_typeck/check/method/suggest.rs b/src/librustc_typeck/check/method/suggest.rs
index 67bdd04d3715c..9c4873bccb299 100644
--- a/src/librustc_typeck/check/method/suggest.rs
+++ b/src/librustc_typeck/check/method/suggest.rs
@@ -937,6 +937,12 @@ impl<'a, 'tcx> FnCtxt<'a, 'tcx> {
         // legal to implement.
         let mut candidates = all_traits(self.tcx)
             .into_iter()
+            // Don't issue suggestions for unstable traits since they're
+            // unlikely to be implementable anyway
+            .filter(|info| match self.tcx.lookup_stability(info.def_id) {
+                Some(attr) => attr.level.is_stable(),
+                None => true,
+            })
             .filter(|info| {
                 // We approximate the coherence rules to only suggest
                 // traits that are legal to implement by requiring that
diff --git a/src/librustdoc/clean/inline.rs b/src/librustdoc/clean/inline.rs
index 78628b198a3c3..ee1c17bad9f93 100644
--- a/src/librustdoc/clean/inline.rs
+++ b/src/librustdoc/clean/inline.rs
@@ -339,6 +339,16 @@ pub fn build_impl(
                 return;
             }
         }
+
+        // Skip foreign unstable traits from lists of trait implementations and
+        // such. This helps prevent dependencies of the standard library, for
+        // example, from getting documented as "traits `u32` implements" which
+        // isn't really too helpful.
+        if let Some(stab) = cx.tcx.lookup_stability(did) {
+            if stab.level.is_unstable() {
+                return;
+            }
+        }
     }
 
     let for_ = if let Some(did) = did.as_local() {