diff --git a/clang-tools-extra/clangd/AST.cpp b/clang-tools-extra/clangd/AST.cpp
--- a/clang-tools-extra/clangd/AST.cpp
+++ b/clang-tools-extra/clangd/AST.cpp
@@ -12,6 +12,7 @@
 #include "clang/AST/ASTContext.h"
 #include "clang/AST/Decl.h"
 #include "clang/AST/DeclBase.h"
+#include "clang/AST/DeclCXX.h"
 #include "clang/AST/DeclTemplate.h"
 #include "clang/AST/DeclarationName.h"
 #include "clang/AST/NestedNameSpecifier.h"
diff --git a/clang-tools-extra/clangd/Hover.cpp b/clang-tools-extra/clangd/Hover.cpp
--- a/clang-tools-extra/clangd/Hover.cpp
+++ b/clang-tools-extra/clangd/Hover.cpp
@@ -19,9 +19,12 @@
 
 #include "clang/AST/ASTContext.h"
 #include "clang/AST/ASTTypeTraits.h"
+#include "clang/AST/Decl.h"
+#include "clang/AST/DeclBase.h"
 #include "clang/AST/DeclTemplate.h"
 #include "clang/AST/PrettyPrinter.h"
 #include "clang/Index/IndexSymbol.h"
+#include "llvm/Support/Casting.h"
 #include "llvm/Support/raw_ostream.h"
 
 namespace clang {
@@ -72,12 +75,17 @@
 std::string getNamespaceScope(const Decl *D) {
   const DeclContext *DC = D->getDeclContext();
 
-  if (const TypeDecl *TD = dyn_cast<TypeDecl>(DC))
+  if (const TagDecl *TD = dyn_cast<TagDecl>(DC))
     return getNamespaceScope(TD);
   if (const FunctionDecl *FD = dyn_cast<FunctionDecl>(DC))
     return getNamespaceScope(FD);
+  if (const NamespaceDecl *NSD = dyn_cast<NamespaceDecl>(DC)) {
+    // Skip inline/anon namespaces.
+    if (NSD->isInline() || NSD->isAnonymousNamespace())
+      return getNamespaceScope(NSD);
+  }
   if (const NamedDecl *ND = dyn_cast<NamedDecl>(DC))
-    return ND->getQualifiedNameAsString();
+    return printQualifiedName(*ND);
 
   return "";
 }
@@ -343,16 +351,27 @@
 
 /// Generate a \p Hover object given the type \p T.
 HoverInfo getHoverContents(QualType T, const Decl *D, ASTContext &ASTCtx,
-                                  const SymbolIndex *Index) {
+                           const SymbolIndex *Index) {
   HoverInfo HI;
-  llvm::raw_string_ostream OS(HI.Name);
-  PrintingPolicy Policy = printingPolicyForDecls(ASTCtx.getPrintingPolicy());
-  T.print(OS, Policy);
-  OS.flush();
-
-  if (D) {
+  auto FillInHover = [&HI, Index, &ASTCtx](const Decl *D) {
+    if (const auto *ND = llvm::dyn_cast<NamedDecl>(D))
+      HI.Name = printName(ASTCtx, *ND);
     HI.Kind = index::getSymbolInfo(D).Kind;
     enhanceFromIndex(HI, D, Index);
+  };
+
+  if (D) {
+    FillInHover(D);
+  } else if (const auto *TD = T->getAsTagDecl()) {
+    FillInHover(TD);
+  }
+
+  if (HI.Name.empty()) {
+    // Builtin types
+    llvm::raw_string_ostream OS(HI.Name);
+    PrintingPolicy Policy = printingPolicyForDecls(ASTCtx.getPrintingPolicy());
+    T.print(OS, Policy);
+    OS.flush();
   }
   return HI;
 }
diff --git a/clang-tools-extra/clangd/unittests/HoverTests.cpp b/clang-tools-extra/clangd/unittests/HoverTests.cpp
--- a/clang-tools-extra/clangd/unittests/HoverTests.cpp
+++ b/clang-tools-extra/clangd/unittests/HoverTests.cpp
@@ -104,7 +104,7 @@
           }}
           )cpp",
        [](HoverInfo &HI) {
-         HI.NamespaceScope = "ns1::(anonymous)::";
+         HI.NamespaceScope = "ns1::";
          HI.LocalScope = "(anonymous struct)::";
          HI.Name = "bar";
          HI.Kind = index::SymbolKind::Field;
@@ -362,7 +362,8 @@
         }
         )cpp",
        [](HoverInfo &HI) {
-         HI.Name = "class (lambda)";
+         // FIXME: Special case lambdas.
+         HI.Name = "(anonymous class)";
          HI.Kind = index::SymbolKind::Class;
        }},
       // auto on template instantiation
@@ -373,7 +374,7 @@
         }
         )cpp",
        [](HoverInfo &HI) {
-         HI.Name = "class Foo<int>";
+         HI.Name = "Foo";
          HI.Kind = index::SymbolKind::Class;
        }},
       // auto on specialized template
@@ -385,7 +386,7 @@
         }
         )cpp",
        [](HoverInfo &HI) {
-         HI.Name = "class Foo<int>";
+         HI.Name = "Foo<int>";
          HI.Kind = index::SymbolKind::Class;
        }},
 
@@ -524,6 +525,25 @@
          HI.NamespaceScope = "";
          HI.LocalScope = "boom::";
        }},
+      {
+          R"cpp(// Should not print inline or anon namespaces.
+          namespace ns {
+            inline namespace in_ns {
+              namespace {
+                inline namespace in_ns2 {
+                  class Foo {};
+                } // in_ns2
+              } // anon
+            } // in_ns
+          } // ns
+          void foo() {
+            [[au^to]] x = ns::Foo();
+          }
+          )cpp",
+          [](HoverInfo &HI) {
+            HI.Name = "Foo";
+            HI.Kind = index::SymbolKind::Class;
+          }},
   };
   for (const auto &Case : Cases) {
     SCOPED_TRACE(Case.Code);
@@ -895,7 +915,7 @@
           [](HoverInfo &HI) {
             HI.Name = "foo";
             HI.Kind = index::SymbolKind::Variable;
-            HI.NamespaceScope = "ns::(anonymous)::";
+            HI.NamespaceScope = "ns::";
             HI.Type = "int";
             HI.Definition = "int foo";
           }},
@@ -1173,7 +1193,8 @@
             }
           )cpp",
           [](HoverInfo &HI) {
-            HI.Name = "class std::initializer_list<int>";
+            // FIXME: Print template instantiation parameters.
+            HI.Name = "initializer_list";
             HI.Kind = index::SymbolKind::Class;
           }},
       {
@@ -1231,7 +1252,7 @@
             }
           )cpp",
           [](HoverInfo &HI) {
-            HI.Name = "struct Bar";
+            HI.Name = "Bar";
             HI.Kind = index::SymbolKind::Struct;
           }},
       {
@@ -1242,7 +1263,7 @@
             }
           )cpp",
           [](HoverInfo &HI) {
-            HI.Name = "struct Bar";
+            HI.Name = "Bar";
             HI.Kind = index::SymbolKind::Struct;
           }},
       {
@@ -1253,7 +1274,7 @@
             }
           )cpp",
           [](HoverInfo &HI) {
-            HI.Name = "struct Bar";
+            HI.Name = "Bar";
             HI.Kind = index::SymbolKind::Struct;
           }},
       {
@@ -1265,7 +1286,7 @@
             }
           )cpp",
           [](HoverInfo &HI) {
-            HI.Name = "struct Bar";
+            HI.Name = "Bar";
             HI.Kind = index::SymbolKind::Struct;
           }},
       {
@@ -1277,7 +1298,7 @@
             }
           )cpp",
           [](HoverInfo &HI) {
-            HI.Name = "struct Bar";
+            HI.Name = "Bar";
             HI.Kind = index::SymbolKind::Struct;
           }},
       {
@@ -1289,7 +1310,7 @@
             }
           )cpp",
           [](HoverInfo &HI) {
-            HI.Name = "struct Bar";
+            HI.Name = "Bar";
             HI.Kind = index::SymbolKind::Struct;
           }},
       {
@@ -1300,7 +1321,7 @@
             }
           )cpp",
           [](HoverInfo &HI) {
-            HI.Name = "struct Bar";
+            HI.Name = "Bar";
             HI.Kind = index::SymbolKind::Struct;
           }},
       {
@@ -1364,7 +1385,7 @@
             }
           )cpp",
           [](HoverInfo &HI) {
-            HI.Name = "struct Bar";
+            HI.Name = "Bar";
             HI.Kind = index::SymbolKind::Struct;
           }},
       {