Abstract: A two-dimensional finite element method (FEM) was used to simulate one periodic groove pressing (GP) process of H62 brass and the effect of the material thickness on distribution of the equivalent strain during the process was investigated. Groove pressing experiments were conducted to verify. The results show that with the increase of the material thickness, the maximum region of equivalent strain transformed from surface to center. The thicker the material, the faster the accumulated rate of equivalent strain, and the worse the unformity. The distribution of simulated equivalent strain was in agreement with the distribution of material microhardness.