The dash lights for odometer and gear indicator is out on my 1998 Buick Century. All other dash lights are okay. Is it a fuse? Where are the fuses?

It could be due to the electrical board fuses going bad. I had to replace one for my odometer/gear indicator not long ago on my '98 Century. For some reason it's a common problem for Buicks. If you go to YouTube and type in "odometer repair" there is a video that will show you how to do it,if in fact that is the problem. But the gear shift indicator and odometer are all tied in to the same circuit. If you do try to fix,it really helps to have someone else there to hold the fuses steady whenever you are soldering the new ones in.

There is no fuse for just the odometer("mileage indicator")The entire instument cluster is on the same fuse.If the odometer isn't working,but the speedometer is,you will have to send the cluster for repair(this is a specialty repair shop,due to legal issues of possible odometer tampering)

No it's not a alternator problem , Instrument cluster problem .
Fixing PRNDL odometer LED not displaying on 2001 Buick Century

sounds like a fuse is blown.. not sure what fuse it is, but your owners manual should tell you exactly where its at.

Dear Sir,
It will in fuse box near dash board, on fuse box cover it may indicated by name ACC or CGR, check and replace that, if any issue please let me know.
Thanks.

this is a common problem and the dash cluster must be removed and sent out for repair, cost is about $175 to replace the LED (Light emitting diode) display that has burned out, this is a faxtory defect as far as this expert is concerned, it is not a fuse problem.

This is a very common problem. I too have this going on. I found a Edmunds Forum and a poster has a fix, at least for him. Link: http://townhall-talk.edmunds.com/WebX?14@@.ef22120/307#MSG307 and see if this is your problem too. I ordered a new headlight switch. Its an easy replacement too. Remove the left side dash panel, two screws and the 20 pin connector. Hope this helps.

http://www.youtube.com/watch?v=84FAjLxoK00

yes but if the fuse is not bad then it is a blown bulb. pull the insterment panel aff dash and locat the blown light. replace and have fun

This requires lamp replacement - and that means pulling the instrument cluster. I have done this on several cars, it has been easier than one may think. Read up or look for YouTube video for your car. Given the age and one has failed, pretty shortly all will statistically - so replace the rest. This repair takes me about 30 minutes - you may want to leave this to a shop mechanic.