A pin wheel type reducer having no eccentric input cam has newly been developed. It can get high torsional rigidity and keep the balanced and steady rotation. In the previous report, the motion principle is investigated, and the cam profiles are shown based on motion of the pins. And the design conditions of an undercutting avoidance are investigated. In this report, tooth height factor is defined. The effect of this factor to the pressure angle which affects on the mechanism transmission charactoristics is analyzed. The optimal value of this factor is obtained. Also, to eliminate high speed sliding between input cam and pins, the modified design, called the both-pin-sides-output-type, is proposed. And the specific sliding of fixed cam and reduced cam is investigated.