To improve the development of science and technology of slope engineering and solve practical slope engineering problems efficiently, it is important to obtain new solutions at limit state. A novel analytical solution is proposed to evaluate the stability and residual sliding force of rock and earth slopes at earthquake limit state. It is based on the principle of the transfer coefficient method and it has two kinds including explicit and implicit solutions. More importantly, it not only considers horizontal earthquake effect, but also considers vertical earthquake effect. At the same time, it believes that there is cohesive strength between the slices of a slope divided. The validation of explicit and implicit solutions is verified through mutual comparison. Results of an engineering example show that factors of safety of explicit and implicit solutions are consistent. However, residual sliding force using the explicit solution is more than it using the implicit solution. Moreover, the influence of horizontal and vertical earthquake effects to factors of safety and residual sliding force is significantly discussed. They imply slopes may be more safety considering combined earthquake effects.