diff --git a/idea/idea-completion/src/org/jetbrains/kotlin/idea/completion/BasicCompletionSession.kt b/idea/idea-completion/src/org/jetbrains/kotlin/idea/completion/BasicCompletionSession.kt
index 36d8c9cb45b..ea5e105f02d 100644
--- a/idea/idea-completion/src/org/jetbrains/kotlin/idea/completion/BasicCompletionSession.kt
+++ b/idea/idea-completion/src/org/jetbrains/kotlin/idea/completion/BasicCompletionSession.kt
@@ -158,6 +158,7 @@ class BasicCompletionSession(configuration: CompletionSessionConfiguration,
         val owner = list.parent
         return when (owner) {
             is JetCatchClause, is JetPropertyAccessor, is JetFunctionLiteral -> false
+            is JetNamedFunction -> owner.nameIdentifier != null
             is JetPrimaryConstructor -> !owner.getContainingClassOrObject().isAnnotation()
             else -> true
         }
diff --git a/idea/idea-completion/testData/basic/common/parameterNameAndType/NotForAnonymousFunction.kt b/idea/idea-completion/testData/basic/common/parameterNameAndType/NotForAnonymousFunction.kt
new file mode 100644
index 00000000000..9556590a549
--- /dev/null
+++ b/idea/idea-completion/testData/basic/common/parameterNameAndType/NotForAnonymousFunction.kt
@@ -0,0 +1,9 @@
+package pack
+
+class Boo
+
+fun f() {
+    x(fun (b<caret>))
+}
+
+// ABSENT: boo
diff --git a/idea/idea-completion/tests/org/jetbrains/kotlin/idea/completion/test/JSBasicCompletionTestGenerated.java b/idea/idea-completion/tests/org/jetbrains/kotlin/idea/completion/test/JSBasicCompletionTestGenerated.java
index 24aaae80402..7b3f8e16987 100644
--- a/idea/idea-completion/tests/org/jetbrains/kotlin/idea/completion/test/JSBasicCompletionTestGenerated.java
+++ b/idea/idea-completion/tests/org/jetbrains/kotlin/idea/completion/test/JSBasicCompletionTestGenerated.java
@@ -1629,6 +1629,12 @@ public class JSBasicCompletionTestGenerated extends AbstractJSBasicCompletionTes
                 doTest(fileName);
             }
 
+            @TestMetadata("NotForAnonymousFunction.kt")
+            public void testNotForAnonymousFunction() throws Exception {
+                String fileName = JetTestUtils.navigationMetadata("idea/idea-completion/testData/basic/common/parameterNameAndType/NotForAnonymousFunction.kt");
+                doTest(fileName);
+            }
+
             @TestMetadata("NotForCatchParameter.kt")
             public void testNotForCatchParameter() throws Exception {
                 String fileName = JetTestUtils.navigationMetadata("idea/idea-completion/testData/basic/common/parameterNameAndType/NotForCatchParameter.kt");
diff --git a/idea/idea-completion/tests/org/jetbrains/kotlin/idea/completion/test/JvmBasicCompletionTestGenerated.java b/idea/idea-completion/tests/org/jetbrains/kotlin/idea/completion/test/JvmBasicCompletionTestGenerated.java
index d3478805bbf..dfe60a0bf38 100644
--- a/idea/idea-completion/tests/org/jetbrains/kotlin/idea/completion/test/JvmBasicCompletionTestGenerated.java
+++ b/idea/idea-completion/tests/org/jetbrains/kotlin/idea/completion/test/JvmBasicCompletionTestGenerated.java
@@ -1629,6 +1629,12 @@ public class JvmBasicCompletionTestGenerated extends AbstractJvmBasicCompletionT
                 doTest(fileName);
             }
 
+            @TestMetadata("NotForAnonymousFunction.kt")
+            public void testNotForAnonymousFunction() throws Exception {
+                String fileName = JetTestUtils.navigationMetadata("idea/idea-completion/testData/basic/common/parameterNameAndType/NotForAnonymousFunction.kt");
+                doTest(fileName);
+            }
+
             @TestMetadata("NotForCatchParameter.kt")
             public void testNotForCatchParameter() throws Exception {
                 String fileName = JetTestUtils.navigationMetadata("idea/idea-completion/testData/basic/common/parameterNameAndType/NotForCatchParameter.kt");