Abstract: A combination lock for luggage cases, comprising a frame, to be mounted on one part of the luggage case, a lock plate provided with a plurality of lock lugs, a plurality of lock wheels each having a slot to be selectively engaged with a corresponding one of the lock lugs, the lock wheels each being provided with a dial wheel, the dial wheels being laid flat side by side on the frame and having an upper surface carrying a group of code figures arranged in a circle. The lock plate is further provided with a hook means for engaging and disengaging a hasp member provided on another part of the luggage case. When the lock wheels are rotated to align the slots with the lock lugs, the lock plate is free to move so that the hook means can be moved toward and away from the hasp member.