My fuse for my Instrument Cluster Illumination, Park & Tail Lights keeps blowing and my cluster fuse under the hood keeps blowing to

STOP and PARK LPS will be tail lights.

ILLUM and GAUGES will.be dash lights.



STOP
Stop/CHMSL, Stoplamps

GAUGES
IP Cluster, DRL Relay, DRL Module, HDLP Switch, Keyless Entry Illumination, Low Coolant Module, CHIME Module, DRAB Module

PARK LPS
License Plate Lamp, Parking Lamps, Taillamps, Front Sidemarkers, Glove Box Ashtray

ILLUM
LP Cluster, HVAC Controls, RR HVAC Controls, IP Switches, Radio Illumination, Door Switch Illumination

Turn the parking lamps or headlamps on in order to illuminate the instrument panel and instrument panel cluster lamps. Voltage applies at all times through the TAIL fuse to the tail relay. Turning the turn signal/headlamp switch to the PARK or the HEAD position provides a ground path to the coil side of the relay to G202. The ground path energizes the coil of the relay. This closes the contacts in the relay. The closed contacts apply voltage to the IP dimmer illumination controller and all the illumination lamps. The illumination lamps are ground through the illumination controller. The controller is located on the left side of the instrument panel. Since the illumination controller is ground to G200, the lamps illuminate when voltage applies. The intensity of the instrument panel and the instrument panel cluster lamps is adjusted by the controller (4). The controller controls the intensity of the lamps by controlling the amount of current from the lamps to ground.Check the tail relay !

Oh boy, I just went through this with my '92 Lesabre, took a long time to trace it all down, and wound up splicing in a new wire just to my instrument cluster lights. A short kept blowing fuses somewhere in that circuit.
Down where your feet go, up under the dash at the fuse panel, there is a 15 amp fuse for park/tail lights. When you hit the light switch (for heads or park lights), power is sent to that fuse, and then to the exterior park lights. There is another wire from that fuse (green wire on mine) that also goes up under the dash, and splices to several bulbs-on the radio, on the HVAC controller, on the ashtray light, also one to the under hood lamp, and then one to the dimmer/brighter switch on the dash, the rheostat that controls brightness of interior lights. One of the green splices goes into this switch, and then another wire goes from this switch to the instrument cluster for the gauge and dash illumination. I couldn't find the short, so ran a new wire from the park light fuse to the gray wire to the instrument cluster for the cluster bulbs. I bypassed the dimmer, and left off the HVAC bulbs and ashtray light. Too much trouble to wire them all up, and think my short may have been in the dimmer rheostat.
If you have a voltmeter, pull out the dimmer switch and check for power on those wires, the green from the fuse. The park light must be switched on, or the fuse has no power. There be 8 or 9 wires on that dimmer rheostat-I never did figure out where all of them went. Asked all over a Buick forum, but nobody had an answer.

Check 20Amp LP Park Fuse in Underhood Fuse Block (mounted to right strut tower) Check 15Amp Tail Lic. Lamp Fuse In IP Fuse Block.

Is it just the instrument gauge cluster that is being affected? Is there any other thing (radio illumination, park or tail lamps, etc.) that is also going out at the same time?
If the cluster is the only thing, I would look for loose electrical connections at the back of the cluster module.

Also, your Instrument Panel Cluster (IPC) is part of your onboard computer network. Fault codes in either the IPC or one of the other modules (PCM, ABS, Body Control, etc.) may lead you to the cause of the IPC malfunction.

All lights, or just your illumination lights? Illumination: bulbs need replacing. All lights; SERIOUS problem. There is a dash panel fuse on car. check that. Has anyone done any work recently under dash( like installing a radio)? May be they accidentally pulled a connector loose behind dash. Need to pull your instrument cluster to check that. Usually two big connectors with lots of wires going to back of instrument cluster. If no power at all with key on: check under hood at power distribution center for a main big fuse out.

There is no fuse specifically for the instrument cluster illumination lights. They are controlled by the BCM.

Is it only the instrument cluster that has no illumination or do the rest of the items like the radio and heat controls also loose there illumination lighting?

I’m happy to assist further over the phone at https://www.6ya.com/expert/jeremy_d728a59f986299fa

Here you go. Under hood fuse block
Ign. Fuse E
and
ipc/dic
both fuses are 10 amp
I hope this helps. Take care.

Unfortunately, could not find owners manual for 1996.

Website only has models 2004-current
=> http://www.jeep.com/en/owners/manuals/index.html

There are two fuse boxes. One under driver compartment usually left to the steering colum. A label is stamp to identify each fuse. I would look at Park Lights and Instrument Cluster fuses. The easy way is to take a flashlight and look at all fuses. If they are all okay. Then just remove the Park Lights and Instrument Cluster fuse and reseat them. The other fuse box is under the hood and near the batter. It also has a label to identify each fuse.