This could be 2 things.
The most common thing would possibly be a broken/damaged relay, or it could even be a damaged stalk.
to me this sounds like a relay, this should be found near the car fusebox.
Turn the indicator on and you should hear it clicking...
Identify the relay and you can either go to a scrap yard to get one or a dealer...
(make sure its for your car thought)
Chris T, October 2012