A new type of servo direct drive turret punch press is presented. A servomotor to drive the eccentric-toggle mechanism is used in our design, which combines the advantages of mechanical and hydraulic turret punch press. The displacement, velocity, and acceleration of the punch are calculated, through the kinematics analysis. So, the motion of the punch is controllable through the rotation of the servomotor. Then, the inverse kinematics analysis is studied in detail, and the corresponding motion of the servomotor can be gotten, for different punch motion curves, according to the production requirement. For example, when we design a motion of the punch for a particular stamping process, the motion of servomotor can be obtained through the inverse kinematics analysis. Finally, Output force is acquired by static force analysis, which decides the working capability of the mechanism.