The invention relates to a lock, a first plug set and an actuator containing a second plug set are arranged inside the case of the lock, the actuator is provided with a protruding piece which is relative to the first plug set and is opposite to a control lever of the first plug set, the user can unlock by turning a digit wheel or by inserting a key into the plug set according to the actual demand. The invention is a practical and convenient lock which has wide application scope.