I just got a Park Avenue with the same problem and you will not believe how it was resolved by putting a light bulb in the right rear turn signal.
Hope it works for you also.
The parking brake light stay lit on the 1999 Mitsubishi Montero sport the parking brake is working and you have not put the light off.
Most likely, the switch that controls your parking light is stuck.
Parking lights may stay on after a BMW is turned off because the headlight is bad. A faulty relay could also cause this problem.
Should be parking/tail fuse
The brake light on most vehicles is not only an indicator that the parking brake is on, but that there is a problem with the system.
I have a 1992 Chevrolet lumina and I had the same problem. what that means is your brake fluid is at a low level so check that.
THE CAR NEEDS FRONT BRAKES............................
because the lights are not controlled by the ignition switch; they are controlled by a separate light switch.
usually the parking brake sensor is malfunctioning [or the fluid is low check this first]
You need to replace the DRL (Daytime running light) Module
2 things could be the problem. If the "Brake" light is on that usually comes on when you set the parking brake then it could be the brake fluid is low. Check that. If it is the "Brake Lamp" light then check your brake lights. 1 of them could be out.
Is the brake fluid level LOW in the brake master cylinder in the engine compartment ?