Abstract: The continuity damage mechanics method , combined with an analysis on the contact problem of composite beams without damage , is int roduced into the analysis on the contact damage problem of composite beams understatic contact loading. The analysis on the contact problem of the non-damaged composite beam is solved by aninverse method. The approach of additional loading and iteration are applied to the analysis of the interlaminar damage and delamination problem of composite beams under static contact loading. The damage dist ribution and st ressdist ribution of glue layers are obtained. The result shows that this method has nice behavior of convergence , and isconvenient for application.