The speedometer no work, suburban 2003

Check your fuses. Probably one burnt out.

Hello, this problem is due to a failing stepper motor. The stepper motor is the motor behind the gauge that controls the movement of the needle. When a stepper motor begins to go out it will cause the gauge needle to stick, skip around, stay at zero or max out on the gauge. The only way to fix the problem is to replace the stepper motor with a new one. While replacing one motor it is best to go ahead and replace them all as the others will go out in time as well. Your cluster will have one motor for each gauge. Here's a link to a page showing exactly how to replace a GM stepper motor and where to get the correct parts to do the job!
DIY Finally How To Repair GM Instrument Cluster At Home Speedometer And...

We have a removal guide on our website that should be of some help! You'll find it on the lower left hand side of the page. Dr Speedometer Instrument Cluster Repair Speedometer Repair Guage...

Hello,

This is a common problem with the 03-06 Suburban vehicles. It is repairable though, you don't need to spend a lot at the dealership. Check this page for more on how to get it fixed for less - Suburban speedometer problems

Thanks,
-Dr.

There is no speedometer cable on the 2003 Yukon, if there is no transmission issues like shifting problem. Your instrument cluster has gone bad, to pinpoint. Your stepper motor to your speedometer gauge has failed and needs to be replaced. You can do a search on Ebay for the stepper motor for around $10.00 which is better then the $400.00 cost of another instrument cluster.
There was a TSB on the replacement of the instrument cluster for your Yukon free of charge. The only cost to you is the labor charge unless your willing to do the job your self. Just go to the Gm Dealer and give them this TSB Number: # 07187C: Special Coverage Adjustment - Instrument Panel Cluster Gauge Needle Function - (Mar 20, 2009)
Subject:
07187C -- SPECIAL COVERAGE ADJUSTMENT - INSTRUMENT PANEL CLUSTER GAUGE NEEDLE FUNCTION
Models:
2003-2004 CADILLAC ESCALADE, ESCALADE ESV, ESCALADE EXT
2005 CADILLAC ESCALADE, ESCALADE ESV, ESCALADE EXT (U.S. ONLY)
2003-2004 CHEVROLET AVALANCHE, SILVERADO, SUBURBAN, TAHOE
2005 CHEVROLET AVALANCHE, SILVERADO, SUBURBAN, TAHOE (U.S.ONLY)
2003-2004 GMC SIERRA, YUKON, YUKON XL
2005 GMC SIERRA, YUKON, YUKON XL (U.S. ONLY)
Some customers of all 2003-2004 model year and certain U.S. 2005 model year Cadillac Escalade, Escalade ESV, and Escalade EXT; Chevrolet Avalanche, Silverado, Suburban, and Tahoe; and GMC Sierra, Yukon, and Yukon XL vehicles have reported that one or more of the instrument panel (IP) cluster gauges stick, flutter, or become inoperative. This may cause inaccurate readings, including the speedometer and fuel gauge. Special Coverage Adjustment This special coverage covers the condition described above for a period of 7 years or 70,000 miles (110,000 km), whichever occurs first, from the date the vehicle was originally placed in service, regardless of ownership.
Dealers are to replace the instrument panel cluster after the condition has been verified. The repairs will be made at no charge to the customer.

For verified failures between 70,001 miles (110,001 km) and 80,000 miles (130,000 km) on U.S. vehicles, dealers are to provide the customer with an instrument panel cluster (IPC) only. Any additional costs, including labor to replace the instrument panel cluster, will be the responsibility of the customer. Dealers are responsible for the return of the customer's IPC back to the Electronic Service Center

Thank you for using fixya and good luck.

The cable may be stripped on the transmission end or that connects to the cluster.

Pretty common problem with these. Here's a guide to learn how to fix GM instrument clusters yourself, I used it to fix mine and it worked great.How to guide for Silverado instrument cluster repair

check all grounds

We have a removal guide on our website that should help you out, you'll see a link for it on lower left hand side of our home page. Dr Speedometer Instrument Cluster Repair Speedometer Repair Guage...

I'm going to assume you checked the fuses, and say that the display panel will have to be replaced. On these the display is all one piece, and when one gage goes out it effects the whole thing. Some of these display panels had in line fuses on the inside circuitry, so you may be able to pull the display and change the fuse. Others were built as a sealed unit and cannot be taken apart.