A method of assembling a surgical sagittal saw that includes an oscillating head. The oscillating head and the yoke used to drive the head are formed with complementary tapered surfaces. The oscillating head is seated in the yoke so the tapered surfaces are adjacent. The yoke and head are pressed together so the yoke and head tapered surfaces abut. As a result of tapered surfaces abutting the oscillating head and yoke effectively become a single unit. The oscillating head and yoke are mounted to the saw body so the yoke can be driven by the drive shaft integral with the saw. The oscillating head is rotatably mounted to the saw. Thus, upon actuation of the drive shaft, the drive shaft oscillates the yoke so as to foster similar oscillations in the oscillating head. The oscillating head drives the saw blade attached to the saw.
