diff --git a/Lib/bdb.py b/Lib/bdb.py
--- a/Lib/bdb.py
+++ b/Lib/bdb.py
@@ -542,18 +542,13 @@
 def checkfuncname(b, frame):
     """Check whether we should break here because of `b.funcname`."""
     if not b.funcname:
-        # Breakpoint was set via line number.
-        if b.line != frame.f_lineno:
-            # Breakpoint was set at a line with a def statement and the function
-            # defined is called: don't break.
-            return False
         return True
 
     # Breakpoint set via function name.
 
     if frame.f_code.co_name != b.funcname:
         # It's not a function call, but rather execution of def statement.
-        return False
+        return True
 
     # We are in the right frame.
     if not b.func_first_executable_line:
diff --git a/Lib/test/test_pdb.py b/Lib/test/test_pdb.py
--- a/Lib/test/test_pdb.py
+++ b/Lib/test/test_pdb.py
@@ -667,6 +667,46 @@
             any('main.py(5)foo()->None' in l for l in stdout.splitlines()),
             'Fail to step into the caller after a return')
 
+    def test_XXX_1(self):
+        script = """
+            x = 1
+            def bar():
+                pass
+
+            bar()
+        """
+        commands = """
+            break bar
+            continue
+            continue
+            break
+            continue
+        """
+        stdout, stderr = self.run_pdb(script, commands)
+        self.assertTrue(
+            any('breakpoint already hit 2 times' in l for l in stdout.splitlines()),
+            'Fail to stop at function definition')
+
+    def test_XXX_2(self):
+        script = """
+            x = 1
+            def bar():
+                pass
+
+            bar()
+        """
+        commands = """
+            break 3
+            continue
+            continue
+            break
+            continue
+        """
+        stdout, stderr = self.run_pdb(script, commands)
+        self.assertTrue(
+            any('breakpoint already hit 2 times' in l for l in stdout.splitlines()),
+            'Fail to stop at breakpoint set on function definition')
+
     def tearDown(self):
         support.unlink(support.TESTFN)