1989 shuts off when i brake

when i drive my 1989 at a constant speed usually under 40mph. then brake the motor shuts off and won't restart for at least 10 minutes.reall upsets the traffic behind me........happen to anyone else?

Had a brake power booster cause that on a pontiac before.

Had a brake power booster cause that on a pontiac before.
tanks 4 the information gives me something to work with...