Is a squeaking noise when you let off the brake pedal in your car a serious problem?

Whenever I let off the brake pedal in my Honda, I hear a squeak noise. Is this something that likely just needs to be lubricated/cleaned on the brake mechanism, or is it signs of a more serious problem? It is not the brake pads; those have been replaced recently. Is this something I need fixed As soon as possible, (possible brake failure) or is it something that just simple (not serious ) maintenance?

It actually COULD be the brake pads, but only because they haven't broken in yet. Give it a few weeks, and then see if it goes away. I highly doubt that you're prone to any kind of an imminent brake failure, as you'd probably notice other symptoms.