Abstract: This paper presents a damage constitutive model for masonry subjected to axial monotonic and cyclic compressive loading, based on related theories and test results. In order to establish flne lever models, double parameters consisting of the peak compressive strain and the strength are adopted to adjust the deformation curve. The uni-axial model presented is consistent with the existing elastic-plastic models, and the mechanical property of masonry materials that a higher strength generally leads to a lower ductility. Assuming that a unloading path of the cyclic constitutive model is linear, a bilinear deterioration function of the unloading compressive stifiness is established by utilizing two test results, and a linear interpolation of the compressive strength for the degradation rate that is permitted.