Your turn signal lights are not working but makes a buzzing noise when engaged the light comes on on the panel and on the vehicle but no flashing you have a 2000 Chevy Impala?

ADDED: I would suspect that the flasher unit might be faulty. It's that little 'can-like' looking thing that gives the 'ticking' sound when the bulb blinks. Good luck.

We have had the same problem on a 2000 Chevy impala. We have replaced the hazzard switch. That did not help. We are clueless too.