There are a series of evident interaction coupling of compatible deformation between the structure and slope because of propagation effect of deformation in soil or rock mass when the reinforcement system, which is compounded by the pre-stressed anchor rope and lattice beam,is employed to strengthen a slope. The coupling effect, however, is neglected in the current procedure of analyzing based on the Winkler's spring assumption that is used in the foundation structure design widely. Now, an approach, which can consider the coupling of deformation at the base contact points each other, has been set up on the base of the elastic semi-space foundation theory for lattice beam. It is proved that the newly proposed analysis model is reasonable and practicable by comparing the multifold solutions with the tests.