A blown bulb. Check fuses and then start replacing the bulbs one by one.
fuse, bulbs
brake light switch would be most common cause
BAD BRAKE LIGHT SWITCH AT TOP OF BRAKE PEDAL
have you checked your fuses?
Check the bulbs - they are doubloe filamented with the smaller being for brake/turn signals Check the fuses
Could be a bad wiring harness, disruption of the circuit somewhere between the brake pedal and the brake lights, a bad switch which fails to actuate the brake lights. See sources and related links below for bulb information.
I found this on my 1997 Silverado and found the connection from the wiring harness to the back OS the switch itself was loose, I could wigle it arouns and make the lights come back on.
It is your multifunction switch that has gone out. It is located in the steering column. I used my emergency lights and it blew out brake lights, turn signals, and emergency lights. In newer models Chevy did a recall not so for our older models. Mine is a 1995.
A bad ground wire is the most common cause of turn signals and brake lights not working. The ground wire connection might be corroded.
The most likely cause is a bad brake light switch (if none of the brake lights illuminate) but if its only one of the brake lights, try changing the bulb. Even if they still work as running or turn lights because they have a double filament and may still work partially, but not as brake lights.
You probably need to replace your brake light switch. It's near the top of the brake assembly, beyond a trim panel. The fact that all three brake lights don't work rules out problems in the multifunction switch (the cause of similar problems affecting only the two rear lights.)
A defective brake light switch could cause the problem. Also a defective turn signal switch could also. The brake lights work through the turn signals. It cancels the brake light so that the turn signal can work.