Abstract: Considering the influences of three factors: cohesion c, over loading q, and density of the soil , a new universal analytical solution of shallow foundation is presented based on the static equilibrium of rigid-plasticity body with the theoretical solution of shallow square foundation and strip foundation. The variation tendency of curves are similar to that of semi-empiric Vesic, Hansen and Meyerhof solutions, and the curves among N_q, N_c, N_r and internal friction angle of soil and ratio of length and width of rectangle foundation are gained. The results of this solution agree with the semi-empiric Vesic solution.