The mouthpiece includes a mouthpiece body (10) having portions (12, 14) configured to receive the users upper and lower sets of teeth when it is inserted into the users mouth. Mounted in the receiving portions are teeth-cleaning assemblies (16) which include bristles for cleaning of the teeth and a system for moving the bristles against the teeth to scrub and clean the teeth. Control elements (22) for the cleaning assemblies are actuated by a selected interior portion or element of the users mouth, such as the tongue, cheek, lips or jaw.