Check the bulbs they are double filamented smaller for stop lights larger for tailights Check for a bad ground
Check fuse
they are not brake lights they are fog lights and they turn on because it is for the car behind to see you
are you sure it is the brake lights and not the tail lights. if it is the brake lights you most likely have a short some where. go to a auto eletrican It is the brake lights which turn on. Short in the switch or the wiring?
Check the ground wire to the tail lights.
Often this type of behavior is caused by a bad ground for the lighting circuit. Check the ground circuit for the brake lights.
Most likely a fuse or a bad ground.
the brake lights are on a separate cuircut,if your brake lights are staying then it will be a fault with the brake light switch. the switch is located under dash,and will be on or very close to brake pedal.
You can only turn off the headlights by applying the emergency brake. When the emergency brake is on, the headlights will not light. Otherwise the best of my expererience is that they are on all the time. If you have remote start, put the emergency brake on before you leave the vehicle and when you remote start it, the headlights will not be on, but the driving lights (if switch is on) will be on as well as the parking lights.
Fuse, wiring, bulbs
Is it the taillights or the brake lights? If taillights it may be a wiring problem, If brake lights check the switch on the brake pedal
Check the fuses and the bulbs.
Check the bulbs - they are double filamented smaller for brake lights and larger for tailights. Check sockets for power and ground
In this order only. Turn engine off. Depress parking brake. Turn engine on. Lights will turn off. To turn lights back on relase parking brake.