Car dies without warning

I’ve had my car die twice on me lately. There is absolutely no warning - no sputtering, rough-running- just dies completely. I am still able to crank the engine after this happens, but it won’t start immediately. After five or ten minutes, it will start and then run fine. 1990 Celebrity. Any ideas on what this could be and how to fix it?

It sounds like some kind of electrical problem. A cracked ignition coil for example can cause this symptom. A bad fuel-pump relay could cause the same symptom. But it could be a lot of other things too given the age of your car, like a fuel pump on its last legs.