Index: clang-tools-extra/clang-tidy/misc/MoveConstructorInitCheck.cpp
===================================================================
--- clang-tools-extra/clang-tidy/misc/MoveConstructorInitCheck.cpp
+++ clang-tools-extra/clang-tidy/misc/MoveConstructorInitCheck.cpp
@@ -57,6 +57,9 @@
   if (QT.isTriviallyCopyableType(*Result.Context))
     return;
 
+  if (QT.isConstQualified())
+    return;
+
   const auto *RD = QT->getAsCXXRecordDecl();
   if (RD && RD->isTriviallyCopyable())
     return;
Index: clang-tools-extra/test/clang-tidy/misc-move-constructor-init.cpp
===================================================================
--- clang-tools-extra/test/clang-tidy/misc-move-constructor-init.cpp
+++ clang-tools-extra/test/clang-tidy/misc-move-constructor-init.cpp
@@ -84,6 +84,11 @@
   N(N &&RHS) : Mem(move(RHS.Mem)) {}
 };
 
+struct O {
+  O(O&& other) : b(other.b) {} // ok
+  const B b;
+}
+
 struct Movable {
   Movable(Movable &&) = default;
   Movable(const Movable &) = default;