Index: clang-tidy/cert/StaticObjectExceptionCheck.cpp
===================================================================
--- clang-tidy/cert/StaticObjectExceptionCheck.cpp
+++ clang-tidy/cert/StaticObjectExceptionCheck.cpp
@@ -27,8 +27,8 @@
   Finder->addMatcher(
       varDecl(anyOf(hasThreadStorageDuration(), hasStaticStorageDuration()),
               unless(hasAncestor(functionDecl())),
-              hasInitializer(cxxConstructExpr(hasDeclaration(
-                  cxxConstructorDecl(unless(isNoThrow())).bind("ctor")))))
+              hasInitializer(ignoringImplicit(cxxConstructExpr(hasDeclaration(
+                  cxxConstructorDecl(unless(isNoThrow())).bind("ctor"))))))
           .bind("var"),
       this);
 }
Index: test/clang-tidy/cert-static-object-exception.cpp
===================================================================
--- test/clang-tidy/cert-static-object-exception.cpp
+++ test/clang-tidy/cert-static-object-exception.cpp
@@ -16,6 +16,15 @@
   explicit V(const char *) {} // Can throw
 };
 
+struct Cleanup
+{
+  ~Cleanup() {}
+};
+
+struct W {
+  W(Cleanup c = {}) noexcept(false);
+};
+
 
 S s;
 // CHECK-MESSAGES: :[[@LINE-1]]:3: warning: construction of 's' with static storage duration may throw an exception that cannot be caught [cert-err58-cpp]
@@ -27,6 +36,9 @@
 V v("v");
 // CHECK-MESSAGES: :[[@LINE-1]]:3: warning: construction of 'v' with static storage duration may throw an exception that cannot be caught
 // CHECK-MESSAGES: 16:12: note: possibly throwing constructor declared here
+W w;
+// CHECK-MESSAGES: :[[@LINE-1]]:3: warning: construction of 'w' with static storage duration may throw an exception that cannot be caught
+// CHECK-MESSAGES: 25:3: note: possibly throwing constructor declared here
 
 thread_local S s3;
 // CHECK-MESSAGES: :[[@LINE-1]]:16: warning: construction of 's3' with thread_local storage duration may throw an exception that cannot be caught
@@ -35,22 +47,27 @@
 // CHECK-MESSAGES: :[[@LINE-1]]:16: warning: construction of 'u3' with thread_local storage duration may throw an exception that cannot be caught
 thread_local V v3("v");
 // CHECK-MESSAGES: :[[@LINE-1]]:16: warning: construction of 'v3' with thread_local storage duration may throw an exception that cannot be caught
+thread_local W w3;
+// CHECK-MESSAGES: :[[@LINE-1]]:16: warning: construction of 'w3' with thread_local storage duration may throw an exception that cannot be caught
 
-void f(S s1, T t1, U u1, V v1) { // ok, ok, ok, ok
+void f(S s1, T t1, U u1, V v1, W w1) { // ok, ok, ok, ok, ok
   S s2; // ok
   T t2; // ok
   U u2; // ok
   V v2("v"); // ok
+  W w2; // ok
 
   thread_local S s3; // ok
   thread_local T t3; // ok
   thread_local U u3; // ok
   thread_local V v3("v"); // ok
+  thread_local W w3; // ok
 
   static S s4; // ok
   static T t4; // ok
   static U u4; // ok
   static V v4("v"); // ok
+  static W w4; // ok
 }
 
 namespace {
@@ -64,6 +81,9 @@
 V v("v");
 // CHECK-MESSAGES: :[[@LINE-1]]:3: warning: construction of 'v' with static storage duration may throw an exception that cannot be caught
 // CHECK-MESSAGES: 16:12: note: possibly throwing constructor declared here
+W w;
+// CHECK-MESSAGES: :[[@LINE-1]]:3: warning: construction of 'w' with static storage duration may throw an exception that cannot be caught
+// CHECK-MESSAGES: 25:3: note: possibly throwing constructor declared here
 
 thread_local S s3;
 // CHECK-MESSAGES: :[[@LINE-1]]:16: warning: construction of 's3' with thread_local storage duration may throw an exception that cannot be caught
@@ -72,6 +92,8 @@
 // CHECK-MESSAGES: :[[@LINE-1]]:16: warning: construction of 'u3' with thread_local storage duration may throw an exception that cannot be caught
 thread_local V v3("v");
 // CHECK-MESSAGES: :[[@LINE-1]]:16: warning: construction of 'v3' with thread_local storage duration may throw an exception that cannot be caught
+thread_local W w3;
+// CHECK-MESSAGES: :[[@LINE-1]]:16: warning: construction of 'w3' with thread_local storage duration may throw an exception that cannot be caught
 };
 
 class Statics {
@@ -85,22 +107,28 @@
   static V v;
   // CHECK-MESSAGES: :[[@LINE-1]]:12: warning: construction of 'v' with static storage duration may throw an exception that cannot be caught
   // CHECK-MESSAGES: 16:12: note: possibly throwing constructor declared here
+  static W w;
+  // CHECK-MESSAGES: :[[@LINE-1]]:12: warning: construction of 'w' with static storage duration may throw an exception that cannot be caught
+  // CHECK-MESSAGES: 25:3: note: possibly throwing constructor declared here
 
   void f(S s, T t, U u, V v) {
     S s2;      // ok
     T t2;      // ok
     U u2;      // ok
     V v2("v"); // ok
+    W w2;      // ok
 
     thread_local S s3;      // ok
     thread_local T t3;      // ok
     thread_local U u3;      // ok
     thread_local V v3("v"); // ok
+    thread_local W w3;      // ok
 
     static S s4;      // ok
     static T t4;      // ok
     static U u4;      // ok
     static V v4("v"); // ok
+    static W w4;      // ok
   }
 };
 
@@ -114,3 +142,6 @@
 V Statics::v("v");
 // CHECK-MESSAGES: :[[@LINE-1]]:12: warning: construction of 'v' with static storage duration may throw an exception that cannot be caught
 // CHECK-MESSAGES: 16:12: note: possibly throwing constructor declared here
+W Statics::w;
+// CHECK-MESSAGES: :[[@LINE-1]]:12: warning: construction of 'w' with static storage duration may throw an exception that cannot be caught
+// CHECK-MESSAGES: 25:3: note: possibly throwing constructor declared here