In current studies, growing up of treatment of the knee joint damage such as arthritis, the research to prevent knee joint is under way. As knee joints could be damaged by various types of motion, one of the most influential factor of the abrasion on the knee joint is progressed by walking. It could be classified as 3 types of walking, 1. Walking plain, 2. Climbing stairs or uphill and 3. Going down. In this study, to find the damaged point of knee joint, the following ways would be used. After comparing the knee joint angle with interior and exterior movement of the knee in accordance with the joint dynamics of typical height, the walking pattern for walking up the stairs can be comprehended. It could be shown the variation of the center of rotation of knee joint. From this, the contact point which is pressed on the knee joints in accordance with each walking pattern could be derived. The numerical modeling could be made by quantifying the variety that is caused by the center of mass of knee bone. It would be expected to calculate the contact point on the knee joint through walking patterns. This numerical model is considered of the kinematics system in our knee