Cranial device with rotary tilt sensor, comprising a container box (1) that can be attached to the skull of the sleeper and, arranged inside said box, an electric motor and an eccentric counterweight coupled thereto, with which it forms a vibrator. It also comprises a power cell or a power cell holder for housing at least one power cell, which is provided with two axially opposed overhanging contacts or lugs. The container box comprises some tilted structures (7) with dielectric characteristics over which said power cell or power cell holder can roll through its lugs, and two electrical contacts (8) wherein said tilted structures terminate, such that when the power cell holder comes to rest over said electrical contacts it closes the motor circuit, in this way activating the vibrator.