Abstract: The finite element contact analysis on two-dimensional cylinder-flat models was conducted. The results indicate that the critical amplitude of strain load transforming partial slip condition into gross slip condition is approximately proportional to the normal force. The fretting wear of zircaloy was simulated by secondary development of finite element based on Archard model and multilayer nodes update method. It is discovered that the wear rate of zircaloy increases rapidly under gross slip condition and increases slowly under partial slip condition with the increase of amplitude of strain load. The wear rate firstly increases and then decreases as the normal force under gross slip condition increases. Under partial slip condition, the wear rate decreases slowly with the increase of normal force.