In a dental, dental-medical or dental-technical handpiece, having an elongate grip sleeve there are provided at the rearward end of the grip sleeve coupling elements for the connection of the handpiece to a supply hose to be connected with a dental supply arrangement, and there are provided at the forward end of the grip sleeve a head section with a tool receiver for mounting a tool to be put into rotation. The handpiece further has an electric motor for driving a tool held by the tool receiver, which motor is completely integrated into the grip sleeve such that grip sleeve and motor form a unit.