I would check the brake regulator switch, located under the dash near the top of the brake pedal. Its a silver piece that has a button like switch that activates every time you press on the brake pedal causing the light to turn on. It could be stuck in, causing the brake light to stay on.
the brake switch at the pedal is stuck or out of adjustment.
most times if brake lights are stuck on you have a bad brake light switch on pedal under dash
Brake Lights "Stuck" ONUsually that is caused by the brake light switch becoming "out of adjustment," but sometimes it can be caused by a defective brake light switch.
"Stuck" brake lights indicate that the brake light switch on the brake pedal is broken. It should be replaced.
the parking brake may be stuck and that causes the brakes to lock up completely, and the horn and lights will stick work if the parking brake is stuck.
If the brake lights stay on that probably means the switch on the brake pedal that activates them is defective.
Defective or out of adjustment brake light switch.
check your clutch and brake fluid
Possibly a defective brake light swith stuck closed.
brake lite switch will keep it in park
Brake light switch is stuck or out of adjustment.
1: check the switch that the brake pedal opens and closes when you (respectively) release and apply the brake. using a voltmeter, verify that no voltage passes when the switch is open (brakes unapplied) - if there is continuity when there should not be, then the switch is the problem. you will have to be more specific beyond "stuck" if this does not help you.