A lock for door includes a locking latch assembly, a lock rotor, a lock bolt and a rotating member, wherein the latch includes an upper rotor member, a clutch transmission set, a deceleration gear set, and a motor. When the deceleration gear set is driven by the motor, the deceleration gear set immediately drives the clutch transmission set to move the lock bolt. When the lock rotor is manually driven to rotate and the upper rotor member is connected to rotate, the upper rotor member pushes the clutch transmission set for a clutch action, so that the clutch transmission set only drives the lock bolt to move so as to selectively lock and unlock the lock for door.