Abstract: In order to get the constitutive relationship model under freeze-thaw cycles for compression masonry，the promoted strain equivalence principle is applied to the masonry structures for the first time and the total damage of the masonry which withstand axial load after freeze-thaw cycles were equaled to the nonlinear coupling of the freeze-thaw damage and axial compression damage． Then based on the basic principles of damage mechanics and the nonhomogeneity of masonry microstructure，deterioration process and damage evolution route for the two damage states were analyzed，the total damage evolution equation of masonry withstanding axial compression after freeze-thaw cycles was derived，finally the constitutive relationship model under freeze-thaw cycles for compression masonry was established and was verified to be rational by existing test data．