Running day lights,

'module'? It's a bulb!

https://www.autozone.com/electrical-and-lighting/high-beam-indicator-light-mini-bulb/jeep/cherokee

Other Jeep models

https://www.google.com/search?safe=off&rlz=1C1QJDB_enCA643CA644&sxsrf=ALeKk009NnI5Wk1vvE9G-ip02oDHguiHUA%3A1611203244609&ei=rAIJYNPSJJK15NoP9MOQ6Aw&q=01+Jeep.+High+beam+indicator+bulbs

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most models and makes will not have daytime running lights if the emergency brake is on.your brake may be off but the switch may be stuck or bad.check the emergency brake to may sure it is all the way off and then check the switch to make sure it is working properly.

Does the green daytime indicator flash when you shift into gear?
If so, one or both high beam bulbs are burned out.

sounds likr the daylight running light reley or day light cont module is pooped

The day time running light module on the back side of the front drivers fender likely needs to be replaced to fix your problem.Unplug it and the lights will work normally from the headlight switch but the day time running lights won,t work and also the high beam indicator light in the dash won,t come on when you switch to high beam but all the lights will work properly.You should replace the drl module as soon as you can but unplugging it will at least keep you from having to remove a battery cable.

The Module for the DRL is most likely bad, the DRL Module is squarish in shape and Black in color and would be located in the fuse area or in the engine compartment. Just pull it straight out and purchase another one and re-install. Buying new low-beam lights will not solve the problem, because if your low-beams work when you turn on your headlights than it is not your bulbs. The DRL Module uses your low beam lights, but at a lower intensity than when it is normally on, so if your low beams work when you turn on the headlight switch than your DRL Module is bad.

I have heard it could be the Daylight Running Light module located under the dash above the brake pedal. The module controls both the daytime running lights and the low beam lights. The high beams are independent of this module.

I have the same problem. I am trying to buy a new module.

The daytime running light module is shot .put in anew one ,or find a used one at an auto wrecker. New one is about $130.00 and used about $40.00.

Below is a listing of which fuse corresponds with which circuit:

1 - 10 Amp - Transmission Controller, Gauges, Autostick
2 - 10 Amp - Right High Beam Headlight
3 - 10 Amp - Left High Beam Headlight
4 - 10 Amp - Radio, CD Player
5 - 10 Amp - Washer Motor
6 - 15 Amp - Power Outlet
7 - 20 Amp - Tail, License, Parking, Illumination Lights, Instrument Cluster
8 - 10 Amp - Airbag
9 - 10 Amp - Turn Signal Lights, Turn Signal/Hazard Indicator
10 - 15 Amp - Right Low Beam
11 - 20 Amp - High Beam Relay, High Beam Indicator, High Beam Switch
12 - 15 Amp - Left Low Beam Headlight
13 - 10 Amp - Fuel Pump Relay, Power Train Control Module
14 - 10 Amp - Cluster, Day/Night Mirror,Sunroof, Overhead Console, Garage Door Opener, Body Control Module
15 - 10 Amp - Daytime Running Light Module (Canada)
16 - 20 Amp - Fog Light Indicator
17 - 10 Amp - ABS Control, Back Up Lights, Daytime Running Lights, A/C Heater Control Cavity Fuse Circuits
18 - 20 Amp - Power Amplifier, Horn
19 - 15 Amp - Overhead Console, Garage Door Opener, Trunk, Overhead, Rear Reading, and Visor Vanity Lights, Trunk Release Solenoid, Power Mirrors, Power Door Locks, Body Control Module, Aspirator Motor
20 - 20 Amp - Brake Lights
21 - 10 Amp - Leak Detection Pump, Low Rad Relay, High Rad Relay, A/C Clutch Relay
22 - 10 Amp - Airbag
23 - 30 Amp - Blower Motor, ATC Power Module
24 - 20 Amp - Power Window Motors
25 - 20 Amp - Power Door Lock Motors, Power Seats

sounds like fuseblock underhood is faulty..front control module is on fuseblock