In this paper, we proposed a concept of using both a linkage balancer and counterweight disks to reduce shaking force and shaking moment of high-speed mechanical presses. The linkage balancer is designed with analytic synthesis method for matching critical shaking forces at the right timing. Counterweight disks’ positions and masses are designed with an optimum method that considers minimizing the magnitude and the fluctuation of the shaking effect. A practical design example on a Stephenson III six-bar linkage press is presented for illustration. The conclusion showed that the shaking force/moment could be effectively reduced. Comparatively, the linkage balancer and the counterweight disks are apt at dealing with shaking force and shaking moment, respectively.