Problems occurs all the time while I am driving. It never go off!
Why does break light stays own, after release of parking break. on 1995 Honda Civic
Check the brake fluid level in the master cylinder. Make sure you have the proper amount in it.
1 more answer , 1 more comment
check to see if the wire to the emerency brake handle came off or not
If the wire came off then the switch would be open, meaning the light would not come on.