1994 Dodge Stealth my car dies while driving

I have a 1994 Dodge Stealth that runs good. The problem occurs when the engine gets hot, suddenly the engine dies while driving. I had happened to me at the streets and some times in the freeway. The car fails to start righ after this problem occures, but once the engine has cooled down, then it starts with no hessitation. What could it be the problem?... and what could it be down to diagnose and solve this failure?...

Thank you,

Salvatore