This paper addresses the kinematics design and analysis of a special class of mechanical presses used for deep drawing and ironing process. The key design objectives are to obtain a longer stroke and a quicker punch return. From the kinematics equations, it is shown that the horizontal quick return mechanism exhibits the preferred characteristics. The behavior of the press is studied based on the placement of the links. The kinematics constraints are observed and the placement of press components to achieve better performance is summarized.