A spinning rigid sphere pressed against an elasto-plastic half space under combined normal and torque loading is presented. The elastic results based on present method are compared with an analytical solution to validate the current model. Stresses, strains, and residual displacements are investigated. The effects of friction coefficient on the spinning and half space contacts are studied. The surface pressure, subsurface stress, von Misses stress, the first yield point, plastic strain fields and evolution of the plastic region are further analyzed. Results show that the application of the torque shifts the maximum von Mises stress and plastic region in the half space closer to the surface; the whole plastic region also moves near the surface. Moreover, the position of the first yield points becomes closer to the surface as well; the evolution of the plastic region shows more complex shapes than those only under a normal load condition.