In order to solve the problems of bearing capacity and stability for the double-layer slope foundation under the load of the strip foundation，this paper compared and analyzed the previous research results，and judges the rationality of its hypothesis. According to the basic characteristics of the asymmetry of the failure mode of the slope foundation and considering the velocity inequality at the stratified interface of the double-layer foundation, a new multi-slider failure mode was used to build its destruction mode. The compatibility velocity field was determined according to the speed-compatible relation and velocity triangle closure condition. At the same time，the upper limit analysis theory of the limit analysis method was introduced to derive the calculation formula of the upper limit bearing capacity of the asymmetric double-layer slope foundation of the strip foundation. The optimization calculation method of the secondary planning algorithm in MATLAB was used to optimize and solve the upper limit bearing capacity of double-layer slope foundation. Finally，the engineering examples was used to verify the rationality of the proposed method, and compared with the existing research methods and the results of the software calculation，proving the feasibility of the method used in this paper.