Abstract: For the consolidation problem of combined stone columns and impervious piles composite foundation, the influences of radial and vertical flows within stone columns and additional stress varied with time and depth on the consolidation rate of composite foundation are considered, the consolidation calculation model of composite foundation is established, and the analytical solution of composite foundation under time and depth dependent additional stress is derived by using an analytical method. The degradation of the consolidation degree solution is studied, and the correctness of the solution is verified by comparing with existing solutions. The curve of consolidation degree of composite foundation under the influence of different factors is drawn by example analysis. The results show that consolidation accelerates if increasing the ratio of additional stress between top and bottom of foundation accelerates consolidation, or increasing the ratio of radial permeability coefficient between stone columns and soil. Ignoring the radial flow in the stone columns will overestimate the consolidation rate of composite foundation. The consolidation rate of composite foundation can be significantly increased by decreasing the radius ratio of element model to stone columns. Increasing the replacement rate of impervious piles in the exterior has no obvious effect on the accelerating the consolidation rate of composite foundation.