1999 Grand Cherokee 4.7 -----> Starts and runs fine until engine warms after approx. 15-20 miles. Engine will stall when driving or while idle at light. *** Idiot lights will come on with key but odometer/rpm/fuel/batt/oil pressure guages will be dead. After a minute to several minutes, guages will work and engine starts. Condition is temp sensitive. Suspect ECM??? {ECM was rebuilt couple years ago.}.

SOURCE: 96 JEEP Gr Cherokee hesitates, surges, later stalls

You might want to start by replacing the crank sensor first.

SOURCE: 1996 Jeep Grand Cherokee stalls when brakes are applied

My 2000 Grand Cherokee had the same problem, without all the sputtering, it would just die approaching a stop. We could only keep it running by slightly pushing down on the gas petal when coming to a stop. I replaced the Throttle Position Sensor, but that didn't change anything. A new mechanic I found replaced the Idle Air Control Valve, and we've had no problems in a week.

SOURCE: 95 jeep grand cherokee, hard starting, backfires, when cold

get a couple bottles of gas line antifreeze .. if you don't already use it and add it to the gas.

Robert

P.S. in minus 40 i don't even get out of bed... minus 23 here last nite... isn't winter grand

SOURCE: 1999 4.0L Jeep Grand Cherokee shuts down after 20-30 minutes.

I'd suggest the ignition control module, however I'd have a certified mechanic check it out just in case...

SOURCE: rough idle stalls at low rpm's

check your transmission fluid,the motor will stall when fluid is low