To provide a method for connecting a perpendicular moving body for a machine tool to a balance cylinder, promptly absorbing the working errors of components, shift of an assembling position and core deviation caused by mounting errors, etc., which occurred in a conventional device.

In the method for connecting the perpendicular moving body for the machine tool to the balance cylinder for canceling the dead weight of the perpendicular moving body, a through-hole is provided in the axial centers of a piston and a piston rod fitted to the balance cylinder. Wire is made to pass through the through-hole, and one end and the other end are connected to the perpendicular moving body and the piston, respectively.