In this paper, a progressive damage model for single-side bonded repaired composites laminates under compressive loading is introduced. Continuum damage model and cohesive zone model including stiffness degradation schemes are employed in the nonlinear FEM to predict the initiation and evolution of damage in the repaired structures. In proposed model, solid elements are applied for composite layers and cohesive elements for the adhesive. The numerical results of failure loads under compression shows consistency with experimental ones. The damage evolution is studied with analysis of loading process and failure propagation in adhesive. It indicates buckling deformation initiates the damage in plate and finally make the repaired structure crush.