Usually because the switch that controls the light is stuck in the 'on'position. easily replaced w/ aftermarket switch from your local NAPA store.
Check your Brake fluid. If the fluid is low then will make the Brake light go on. anothe thing is you might be needing new brakes soon..
Is it the parking brake light or the ABS light? is it red light or amber?
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.
Parking brake not fully released? Defective sensor?
Low brake fluid in master cylinder? Parking brake not fully released?
Check the brake light switch, it's under the dashboard, connected to the brake pedal.
Park brake light - might mean the e-brake pedal is slightly moved down to initiate light. Battery light - means the alternator is bad or battery bad etc. Parking brake light also comes on when the brake fluid runs low... This happened on a 2003 kia Rio the next day the car died it is either because of a bad battery, alternator or alternator fuse
From the 1996 owners manual (which probably also applies to your '95): This light functions for both the parking brake and the foot brake systems. The light comes on when the parking brake is applied, and also warns of a low brake fluid level. If the light comes on while the engine is running with the parking brake not applied, stop the vehicle and perform the following: 1. Check the brake fluid level. Add brake fluid as necessary. See ''Brake fluid'' in the ''Do-it-yourself operations'' section. 2. If the brake fluid level is correct, check the warning system.
Check you brake fluid and the brake switch on the proportioning value. If the fluid level is ok then disconnect the switch to see if the light goes out. Also check the parking brake switch.
The master cylinder contains the reservoir for the brake fluid. This is where you would add it on an 1990 Cutlass Supreme.
i have a 1999 grand prix mine did the same thing.it is a warning for low brake fluid. i know cause my car goes through brake fluid like water
Try checking the switch in the hand lever itself. Sometimes it can get a piece of trash stuck in it.or it can be worn out. On a 93 escort the parking brake light also doubles as a low brake fluid warning light. It may be the same with a 2001. So you could have a leak somewhere.