Circuit Breaker Keeps Tripping?

It may be that everything is working properly. 10 amps is a small breaker and if it is loaded to between 10 and 12 1/2 amps it could take 10, 20, 30 minutes or even longer to trip based on the temperature around the breaker box.

Breakers do not trip instantly:
a standard 10 amp breaker I use trips as follows:
over 10,000 amp : max breaker rating, may not trip, may have other problems.
300 to 10,000 amp : 1/60 of 1 second to trip
200 to 300 amp : up to 0.4 seconds to trip
100 to 200 amp : up to 1.5 seconds to trip
20 to 100 amp : up to 50 seconds to trip

15 to 20 amps : up to 150 seconds to trip
12 1/2 to 15 amps : up to 250 seconds to trip
voltage x current = power
voltage=120 volts
amps= 10 amps max
power= 1200 watts max

Your total connected load at lights and receptacles on this circuit cannot exceed 1200 watts

If the circuit is loaded, which an electrician can verify with a meter, your options are limited. The wire size needs to be identified to see if it can handle a larger breaker, if it can then simply put in a larger breaker. (#14 awg wire can be protected with a 15 amp breaker).

If the wire size is too small then you will need to replace it with larger wire before increasing the breaker size.

Another option, which I should have suggested first, is to replace less efficient lighting such as incandescent with more efficient such as LED. This will shed load dropping your amp draw. A 60 watt incandescent will pull 60 watts of power. A 60 watt CFL will pull 15 watts of power. A 60 watt LED will pull 8 watts of power. (60 watts of power is 1/2 amp and your breaker only has 10 amps available)

Bruce always gives good advice. He knows what he is talking about. However, another thing that he should have mentioned is that breakers wear out if they trip frequently. If I were you, I would go with his advice to change your light bulbs, and then, if the problem persists, call in an electrician to test the wiring and check the breaker.

It may be a very inexpensive fix.