When the ignition switch is off, my parking brake light is on ,but it's very dim. It stays on even though the brake pedal is not depressed.Any idea on this issue?

 

Bad ground to the instrument cluster???
Is the negative on the battery grounded to the fender or just the engine?

 

Battery is grounded to motor,motor grounded to firewall,body grounded to frame

 

Year and carline?

Some years and models have a small gage wire running from battery (-) terminal to the fender or radiator core support.

Others have a metal grounding plate on the back side of the instrument panel.

Go underhood and you'll see a tan wire connected to the brake distribution block. Pull the wire off its connector and see if the light turns off. If it does there's a wiring issue between the block and the warning lamp.

Then look at the parking brake assembly underdash. You'll see another tan wire connected to a plunger switch on there. Jiggle that wire and switch and see what the lamp does. That will isolate the switch as a cause of the dim glow.

 

1972 442,thanks for the info,i'll try them.