CrimeStoppers announced the reward on Monday.
Someone forced his way through a locked window at Nelly's Wildwood home in the early hours of Dec. 11 and got away with a duffel bag full of items that included electronics and other goods.
Nelly, whose real name is Cornell Haynes Jr., was not home at the time. Police say one of three occupants saw and confronted the intruder, a male in his 20s or 30s.
No one was injured.