I have a 2000 Town Car, after approx 75,000 miles, my engine started to stop running randomly. It happens while I'm actually driving, about 40 MPH. As with your engine, the electrical system stays on, engine just stops.
My "Ck Trac" light comes on. I put it in park, and it starts right up. Took it to a Lincoln dealer, they changed the fuel pump. Did not fix problem. Had all the tires checked, OK. Took it to a mechanic with a pretty good reputation. Had full engine service done, oil, filters, etc. He kept it for about 3 weeks, driving it with my permission. Checked the computer for codes right after each incident. No luck. Finally, after getting nowhere, he changed a sensor in the computer, no guaranties, and disabled the Trac light. After about 9 miles, same problem. The "Ck Trac" light came on, even though it is disabled. I kept track of the miles between incidents, appox 9-20 miles. I started to accelerate the gas pedal when I first start up the engine. I have driven the car about 80 miles now without it dying. Did I find a remedy? Don't know, still won't go to far from home. GOOD LUCK!
Saturday, October 3rd, 2009 AT 12:12 PM