Abstract: A continuity damage mechanics method, combined with analysis on the contact problem of non-damaged composite plates, was introduced into the analysis on the contact damage problem of the composite plates under static contact loading. The contact problem of non-damaged composite plates was solved by the inverse method. Considering that the interlaminar material is easy to be damaged in engineering application and to obtain a simple mechanics model firstly, just count the damage of interlaminar glue layer during the analysis on contact problems. The damage development of the glue layer was supposed to be isotropic. The parameters of glue damage development were obtained by the fitting curves of fatigue experiments. The approaches of additional loading and the iteration were applied to the analysis of interlaminar damage and delamination problems of the composite plates under static contact loading. The damage distribution and stress distribution of the glue layers were obtained. The result shows that the above method has good behavior of convergence, and is convenient for application.