Lights blew on my ceiling fan

Time to replace the light fixture.

Casey one of the lights or sockets could be shorted. Remove the bulbs and try again: If it still pops you might need help

Leaving it popped find somebody with an ohmmeter to confirm the short. If no short is found, you might be using bigger bulbs than the breaker can handle

Replacing the light fixture is a wise choice as was stated by Butrflynet. When you open it up, you'll see the heated up socket and/or wiring ... in which case, the new fixture is the most prudent way to resolve.