Abstract: A damaged elasto-brittle material constitutive relation in incremental form which consideres anisotropy of both material and damage is presented in this paper.The formula calculating the tensors(including the damage modulus,the offcctive elastic modulus and the kinetic elastic modulus as well) are also derived.And based on this clastc-brittle damage theory and method,the structural finies element procedure taking local damage into account and its application to simulato damage-failure process of composite plate has been given, Finally the calculating results of the damage process of a glass-fiber woven/epoxy composite plate with a central holl under tensile loading have been shown in the form of equi-damage lines and their change.