diff --git a/clang/test/Driver/clang-offload-wrapper.c b/clang/test/Driver/clang-offload-wrapper.c
--- a/clang/test/Driver/clang-offload-wrapper.c
+++ b/clang/test/Driver/clang-offload-wrapper.c
@@ -39,8 +39,8 @@
 
 // CHECK-IR: [[DESC:@.+]] = internal constant [[DESCTY]] { i32 1, [[IMAGETY]]* getelementptr inbounds ([1 x [[IMAGETY]]], [1 x [[IMAGETY]]]* [[IMAGES]], i64 0, i64 0), [[ENTTY]]* [[ENTBEGIN]], [[ENTTY]]* [[ENTEND]] }
 
-// CHECK-IR: @llvm.global_ctors = appending global [1 x { i32, void ()*, i8* }] [{ i32, void ()*, i8* } { i32 0, void ()* [[REGFN:@.+]], i8* null }]
-// CHECK-IR: @llvm.global_dtors = appending global [1 x { i32, void ()*, i8* }] [{ i32, void ()*, i8* } { i32 0, void ()* [[UNREGFN:@.+]], i8* null }]
+// CHECK-IR: @llvm.global_ctors = appending global [1 x { i32, void ()*, i8* }] [{ i32, void ()*, i8* } { i32 1, void ()* [[REGFN:@.+]], i8* null }]
+// CHECK-IR: @llvm.global_dtors = appending global [1 x { i32, void ()*, i8* }] [{ i32, void ()*, i8* } { i32 1, void ()* [[UNREGFN:@.+]], i8* null }]
 
 // CHECK-IR: define internal void [[REGFN]]()
 // CHECK-IR:   call void @__tgt_register_lib([[DESCTY]]* [[DESC]])
diff --git a/clang/tools/clang-offload-wrapper/ClangOffloadWrapper.cpp b/clang/tools/clang-offload-wrapper/ClangOffloadWrapper.cpp
--- a/clang/tools/clang-offload-wrapper/ClangOffloadWrapper.cpp
+++ b/clang/tools/clang-offload-wrapper/ClangOffloadWrapper.cpp
@@ -262,7 +262,12 @@
     Builder.CreateRetVoid();
 
     // Add this function to constructors.
-    appendToGlobalCtors(M, Func, 0);
+    // Set priority to 1 so that __tgt_register_lib is executed AFTER
+    // __tgt_register_requires (we want to know what requirements have been
+    // asked for before we load a libomptarget plugin so that by the time the
+    // plugin is loaded it can report how many devices there are which can
+    // satisfy these requirements).
+    appendToGlobalCtors(M, Func, /*Priority*/ 1);
   }
 
   void createUnregisterFunction(GlobalVariable *BinDesc) {
@@ -283,7 +288,8 @@
     Builder.CreateRetVoid();
 
     // Add this function to global destructors.
-    appendToGlobalDtors(M, Func, 0);
+    // Match priority of __tgt_register_lib
+    appendToGlobalDtors(M, Func, /*Priority*/ 1);
   }
 
 public: