Jeep cherokee limited ed. 96 wont start

????.. Do you mean it will turn over but NOT crank and run?
Do you have at least a 1/4 tank of gas..??
When/how did this start... all of a sudden,, started doing it occasionally?.. Have you had anyone (mechanic) look at it yet? Megan, there is not a way to diagnose your problem without A LOT more information.
Jeep Cherokee Workshop Owners Manual Free Download
http://www.rockauto.com/.../jeep,1996,cherokee,4.0l+l6,1180314,literature,repair+manual,
https://www.amazon.com/Cherokee-Wagoneer-Comanche...Manuals/dp/1563922150
Jeep Cherokee Cherokee Comanche Wagoneer Limited 2WD 4WD petrol 84 01...
Advance Auto Parts Down for Maintenance
Haynes Repair Manual Technical Book 50010 Read Reviews on Haynes 50010

The computer grounds the fuel pump relay for 3 seconds to boost fuel pressure on start-up. If the computer does not see oil pressure or RPM it will not continue to ground the relay.
You would need to bypass the relay and see if the pump continues to run, then check the relay and the ground signal from the computer.
The gas gauge problem may be connected or something different.
The connector at the gas tank may be faulty which would affect both the power for the pump and the fuel gauge sending unit.

Not aware of any re-set on Jeeps. But you said it won't crank? Starter is not working? Please clarify.
If it won't crank over from the starter, your problem is in the start circuit, and not affected by fuel pump operation. So, please reply.

http://jeep.off-road.com/jeep/voice/the-jeep-creep-questions-and-answers-15727.html

click this link and read the FQA

hope you fill find you problem solution

CHECK FUEL REGULATOR ON FUEL INJECTOR RAIL,&ALSO FUEL PUMP, CHARLIE

96 Jeep Grand Cherokee wont start.Has fuel Press No spark.Poss Ignition Module?Cant Find location.

check the fuel pump fuse/relay, could be just bad enough to cause an intermittent start/no start. and check fuel pressure,spark and the crank position sensor.

check the fluid level in it

first, have someone turn your key on as you listen to the gas tank. you should hear a whirring sound that indicates your fuelpump is working. if not, check your fuses.2nd, change your fuel filter. good luck. if you don't hear any sound from your fuel pump and still after checking fuses, fuel pump may need to be replaced. good luck

check your fuel pump relay switch. under hood