I have a 1996 Chrysler Sebring Convertible and when we drive it to work 50 miles in the morning no problem, but coming home at night when it is warmer out the car shuts off and right back on. It will stall at red light sometimes but always starts right back up. Can some one help me here.

When you say it shuts off and right back on, do you mean that it does that while driving or only when stopped? Is the stalling a stopped version of the off and back on? Next, is there a Check Engine light coming on? If it's only a stop light stall, I'd start by cleaning the throttle body. If it has a trouble code for a TP sensor, well, those can cause that, but you'd need to catch it in the act to make sure it's not a wiring problem.

Sorry it took so long - for some reason my previous post didn't make it through.

It does not give a trouble code and I cleaned the throttle body and put a new cap rotor and wires on it. Changed the IAT and Idle control sensor. It does not do it until it get warm out side, I live in FL and it gets warm most days. I can be driving along at 60 and it shuts down and comes right back on. It has stalled while idling and starts back up.

Data has to be gathered if that one is to be fixed, and that means a scan tool (a really GOOD one) at the very least. There are shops with data recorders to capture that kind of failure. Unfortunately, that kind of concern is very difficult to fix without the proper equipment to diagnose it. There is an outside chance you might guess your way to a solution, but that will be expensive. Something is being lost (spark, or fuel injection) when this happens and it could be anything from an intermittent sensor signal to a shorted wire. Do a careful examination of the wire harnesses and see if any of them are scratching against a sharp edge.

Had the same problem with a sebring lxi, it was a bad o2 sensor.
I know thats not really much advise but hey its something to look into.