My turn signal lights dont work. They turn on they

do u mean ur turn signals do not flash an does the green turn signal arrow on ur insterment panel light upwhen u go to turn them on...if they dont flash an the arrow lites replace the turn signal flasher ..it is a round sliver cylinder located in the fuse box or under the dash on the steering column

Flasher module is burnt , just replace it.. you will find it in the fuse panel.

You need to replace the turn signal flasher, it's a cylinder shape and may be silver or gold in color. When it goes bad, the turn signals stop flashing. Good luck and keep me posted.

under the dash near the steering column will be a unit called the electronic flasher module (don't know exact location as it varies, but it will be labeled). It sounds like the unit has gone bad

Sound like turn signal relay not working. On most Chevys it's in with the fuse box, but if not there. Look under the dash by fuse box or steering column.

did you check ALL the bulbs for ALL the lights?

The way the system works is:
The fuse supplies 12 volts to the flasher unit then leaves the flasher and goes to the turn-signal switch in the steering column.
When you set the turn-signal switch to turn right or left, the switch sends that 12 volts to the front and rear bulbs. The voltage goes through the bulb, lighting the bulb and goes to ground.
If any of these components are not good than the lights will not work.
Check the fuse and make sure it is good, the fuse will be located under the hood at the fuse center.
Let me know if you have a test light and we can proceed from there.
Regards,

under the dash on the driver side there is a round or square sliver box that should say turn signal or flasher on it in the fuse box.

to replace the flasher remove the under dash panel or knee bolster under steering wheel

To cover all of the bases, replace your bulbs, fuses and flasher.