Abstract: On the basis of previous study,stiffness calculation of the steel-concrete composite box girders is adopted to the transformed section,and the effect of slipping is not be considered in the Rigidity calculation.Because of the effect of slipping,the calculated stiffness is slightly larger than the actual stiffness of the steel-concrete composite box girders but the deformation is relatively small,which is not safe in the deformation.Using Goodman elastic multiplayer assumption,the effect of slipping of the Axis Deformation is considered by the function of the Axis slip.On the basis of the force and geometric equilibrium equation,the deformation differential equation of the steel-concrete composite box girders based on the effect of slipping is presented,so the general solution is obtained.According to the boundary conditions,the computational expressions of the deformation based on the effect of slipping are acquired.By the application of an practical engineering example,the research results show that this theory is correct and convenient to solve the problem of the deformation of the steel-concrete composite box girders,and arbitrary crossinternal forces of the steel-concrete composite box girders are obtained.The research results can provide the theoretical basis for the safety design of the steel-concrete composite box girders.