Index: include/clang/Parse/Parser.h
===================================================================
--- include/clang/Parse/Parser.h
+++ include/clang/Parse/Parser.h
@@ -1314,6 +1314,7 @@
 
   ExprResult ParseExpression(TypeCastState isTypeCast = NotTypeCast);
   ExprResult ParseConstantExpression(TypeCastState isTypeCast = NotTypeCast);
+  ExprResult ParseConstraintExpression();
   // Expr that doesn't include commas.
   ExprResult ParseAssignmentExpression(TypeCastState isTypeCast = NotTypeCast);
 
Index: lib/Parse/ParseExpr.cpp
===================================================================
--- lib/Parse/ParseExpr.cpp
+++ lib/Parse/ParseExpr.cpp
@@ -205,6 +205,24 @@
   return Actions.ActOnConstantExpression(Res);
 }
 
+/// \brief Parse a constraint-expression.
+///
+/// \verbatim
+///       constraint-expression: [Concepts TS temp.constr.decl p1]
+///         logical-or-expression
+/// \endverbatim
+ExprResult Parser::ParseConstraintExpression() {
+  // FIXME: this may erroneously consume a function-body as the braced
+  // initializer list of a compound literal
+  //
+  // FIXME: this may erroneously consume a parenthesized rvalue reference
+  // declarator as a parenthesized address-of-label expression
+  ExprResult LHS(ParseCastExpression(/*isUnaryExpression=*/false));
+  ExprResult Res(ParseRHSOfBinaryExpression(LHS, prec::LogicalOr));
+
+  return Res;
+}
+
 bool Parser::isNotExpressionStart() {
   tok::TokenKind K = Tok.getKind();
   if (K == tok::l_brace || K == tok::r_brace  ||
Index: lib/Parse/ParseTemplate.cpp
===================================================================
--- lib/Parse/ParseTemplate.cpp
+++ lib/Parse/ParseTemplate.cpp
@@ -116,7 +116,7 @@
     SmallVector<Decl*, 4> TemplateParams;
     if (ParseTemplateParameters(CurTemplateDepthTracker.getDepth(),
                                 TemplateParams, LAngleLoc, RAngleLoc)) {
-      // Skip until the semi-colon or a }.
+      // Skip until the semi-colon or a '}'.
       SkipUntil(tok::r_brace, StopAtSemi | StopBeforeMatch);
       TryConsumeToken(tok::semi);
       return nullptr;
@@ -132,6 +132,17 @@
     if (!TemplateParams.empty()) {
       isSpecialization = false;
       ++CurTemplateDepthTracker;
+
+      if (TryConsumeToken(tok::kw_requires)) {
+        ExprResult ER =
+            Actions.CorrectDelayedTyposInExpr(ParseConstraintExpression());
+        if (!ER.isUsable()) {
+          // Skip until the semi-colon or a '}'.
+          SkipUntil(tok::r_brace, StopAtSemi | StopBeforeMatch);
+          TryConsumeToken(tok::semi);
+          return nullptr;
+        }
+      }
     } else {
       LastParamListWasEmpty = true;
     }
Index: test/Parser/cxx-concepts-ambig-constraint-expr.cpp
===================================================================
--- /dev/null
+++ test/Parser/cxx-concepts-ambig-constraint-expr.cpp
@@ -0,0 +1,29 @@
+// RUN: %clang_cc1 -std=c++14 -fconcepts-ts -x c++ %s -verify
+
+// Test parsing of constraint-expressions in cases where the grammar is
+// ambiguous with the expectation that the longest token sequence which matches
+// the syntax is consumed without backtracking.
+
+// type-specifier-seq in conversion-type-id
+template <typename T> requires (bool)&T::operator short
+unsigned int foo(); // expected-error {{C++ requires a type specifier for all declarations}}
+
+// type-specifier-seq in new-type-id
+template <typename T> requires (bool)sizeof new (T::f()) short
+unsigned int bar(); // expected-error {{C++ requires a type specifier for all declarations}}
+
+template<typename T> requires (bool)sizeof new (T::f()) unsigned // expected-error {{'struct' cannot be signed or unsigned}}
+struct X { }; // expected-error {{'X' cannot be defined in a type specifier}}
+
+// C-style cast
+// of function call on function-style cast
+template <typename T> requires (bool(T()))
+T (*fp)(); // expected-error {{use of undeclared identifier 'fp'}}
+
+// function-style cast
+// as the callee in a function call
+struct A {
+  static int t;
+  template <typename T> requires bool(T())
+  (A(T (&t))) { } // expected-error {{called object type 'bool' is not a function or function pointer}}
+};
Index: test/Parser/cxx-concepts-requires-clause.cpp
===================================================================
--- /dev/null
+++ test/Parser/cxx-concepts-requires-clause.cpp
@@ -0,0 +1,82 @@
+// RUN: %clang_cc1 -std=c++14 -fconcepts-ts -x c++ %s -verify
+// expected-no-diagnostics
+
+// Test parsing of the optional requires-clause in a template-declaration.
+
+template <typename T> requires true
+void foo() { }
+
+
+template <typename T> requires !0
+struct A {
+  void foo();
+  struct AA;
+  enum E : int;
+  static int x;
+
+  template <typename> requires true
+  void Mfoo();
+
+  template <typename> requires true
+  struct M;
+
+  template <typename> requires true
+  static int Mx;
+
+  template <typename TT> requires true
+  using MQ = M<TT>;
+};
+
+template <typename T> requires !0
+void A<T>::foo() { }
+
+template <typename T> requires !0
+struct A<T>::AA { };
+
+template <typename T> requires !0
+enum A<T>::E : int { E0 };
+
+template <typename T> requires !0
+int A<T>::x = 0;
+
+template <typename T> requires !0
+template <typename> requires true
+void A<T>::Mfoo() { }
+
+template <typename T> requires !0
+template <typename> requires true
+struct A<T>::M { };
+
+template <typename T> requires !0
+template <typename> requires true
+int A<T>::Mx = 0;
+
+
+template <typename T> requires true
+int x = 0;
+
+template <typename T> requires true
+using Q = A<T>;
+
+struct C {
+  template <typename> requires true
+  void Mfoo();
+
+  template <typename> requires true
+  struct M;
+
+  template <typename> requires true
+  static int Mx;
+
+  template <typename T> requires true
+  using MQ = M<T>;
+};
+
+template <typename> requires true
+void C::Mfoo() { }
+
+template <typename> requires true
+struct C::M { };
+
+template <typename> requires true
+int C::Mx = 0;