A surgical handpiece has at least two working tips and at least two ultrasonic drivers. Each of the ultrasonic drivers creates longitudinal mechanical vibration. At least two connecting pieces connect each of the ultrasonic drivers to one separate working tip so that the mechanical vibration of one driver is applied to one tip independent of the application of the mechanical vibration of the other driver applied to the other tip. A control system independently controls the amplitude of the mechanical vibration from each of the ultrasonic drivers. In one embodiment the drivers are both in a single housing, and optionally a lever is provided on the handpiece to operate in conjunction with one or both of the tips. In another embodiment, the drivers are in separate housings that can be pivoted with respect to each other.