Abs and brake light stays on on my 2002 chevy tahoe after raplaceing the abs pump.will these go off automaticly?

Seems the most likely is the control module, but could be affected by bad grounds or possibly a wheel speed sensor.
Read this thread, about 3 pages long, and has info and links for the control module fix and where to check the grounds.
http://www.tahoeyukonforum.com/threads/abs-light-and-brake-light-01-tahoe.39226/

First you need to have EBCM - electronic brake control module check for DTC'S - diagnostic trouble code's . If the light is on there is a code stored . I think most part stores can do this and for free . After you find out what code is stored , looking up that code in service repair information for diagnostic trouble shooting chart would be next step . There are a few codes too.
DTC C0035 or C0040
DTC C0045 or C0050
DTC C0110
DTC C0131
DTC C0161
DTC C0186
DTC C0196
DTC C0201
DTC C0240
DTC C0241 or P0856
DTC C0244 or P1689
DTC C0245
DTC C0283
DTC C0287
DTC C0290 or C0292
DTC C0455
DTC C0550
DTC C0558

Find the code do the diagnostic's , fix the problem , wiring issue's , a sensor , bad module ,what ever it is . The light will go out then . Here is a sample of code discription .
• DTC C0035 Left Front Wheel Speed Sensor Circuit
• DTC C0040 Right Front Wheel Speed Sensor Circuit

images for 2002 Tahoe abs relay location

Chevy ABS and Brake Dash Light fix - YouTube

? 24:15
https://www.youtube.com/watch?v=Jo76ylqgUR8
Dec 22, 2012 - Uploaded by Skizzot7
This is how to fix intermittent ABS and Brake dash lights on all Chevrolet ... That board is rather robust and is installed external to the vehicle in a location that sits .... I took the module out of a2002 Sierra and it is engineered with no T10 .... ABS Sensor and Harness 2000-06 Chevy Suburban Tahoe GMC ...

How I fixed a Chevy with an Abs and Brake light on - YouTube

images for 2002 tahoe wiring

Check the brake light switch on the end of the steering column close to the firewall...

try getting under your car in the rear some times the e brake cable sticks spray some wd40 on it and pull it should unlock it see this were I work all the time hope this helps

Yes it may be the wires are shorting or its actually the problem with instrument cluster.
Also get the vehicle scanned for any error codes stored in computer this will confirm whether is short circuit issue or actual problem:------
I suggest you few help links with accurate solutions to refer/go through:----Click the link below:------

Battery and brake Warning lights on Dash
http://alltypesofpartsreplacing.blogspot.com/2012/10/battery-and-brake-warning-lights-on-dash.html
--------------2002 Ford Windstar: Brake Warning Light ON dash? http://schematicsdiagram.blogspot.in/2012/06/2002-ford-windstar-brake-warning-light.html
-------------ABS & Brake warning lights remains steady on dash? http://schematicsdiagram.blogspot.com/2011/12/abs-brake-warning-lights-remains-steady.html
-----------Chevrolet Tahoe Hood open warning on dash and alarm sounds? http://schematicsdiagram.blogspot.com/2011/12/chevrolet-tahoe-hood-open-warning-on.html
-----------2005 Chevy Impala: Service Vehicle Soon Warning Light? http://whoisbyme.blogspot.in/2012/06/2005-chevy-impala-service-vehicle-soon.html -------------- Malfunction Indicator Light ON http://whoisbyme.blogspot.in/2012/06/malfunction-indicator-light-on.html
-----------Car Runs Fine But Check Engine light is ON?

http://whatisbyme.blogspot.in/2012/05/car-runs-fine-but-check-engine-light-is.html

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Check engine light with codes P2195 and P2197?

http://howtobyme.blogspot.in/2012/01/check-engine-light-with-codes-p2195-and.html

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How to Read Codes from Check Engine Light? http://schematicsdiagram.blogspot.com/2011/12/how-to-read-codes-from-check-engine.html
-------------These will help.Thanks.

Ok, there are sensors on your front wheel hubs. This could easily cause the abs light to turn on. The loud noise could easily be your wheel hub going bad. Easiest way to check, jack up the front of the truck, grab tire, shake back and forth and up and down. Same amout of play each way? You're wheel hub is bad.......

I would still be suspect of the ABS module. Had the same thing happen on an 01 Tahoe.

Search the web for an ABS repair facility located in Russia, IA. They repair the module for $150.00 and give a 5 year warranty, which you can't get from the factory.
And, their website has troubleshooting guides to help you determine if for certain the module is bad or has a probelm.

You can remove the module and continue to drive the vehicle. Their turn around is as they state, and once I had them make the repiars, my Tahoe has been up and running great!

the brake light switch. under dash behind brake peddle arm.

I hope you have the problem fixed by now, but, it is the ABS control under the truck. You need to go under the hood and open the fuse box and disconnect the 60 amp fuse for the ABS, this will turn it off before it burns up. This however will also cause the traction assist off light to stay lit all the time. To the fix the problem you can pay tons of money ($700 or so) to have the dealership install a ABS control and the problem will happen again over time. Or, remove it yourself, go on ebay and ship it off to a guy who repairs them for about $150 and you will never have the problem again. Also, if you wrap your cable ends with plastic and protect them good, you can still drive you truck while the part is being worked on. It takes about a week.