The impact between spheres and planes was a fundamental problem in the objects impacts. The impact loads were investigated for the different materials spheres impacting on the different materials planes in this paper. The results of the impact between two elastic materials were consistent with the Hertz results, which indicated that the finite element model was accurate and reliable. The simulation results showed that the impact loads would decrease if there were plastic deformations during the impact. For the same material properties of the plane and the sphere, the impact loads of the plane were higher than ones of the sphere. In other words, the impact between the same materials made the plane prone to fail. If the material properties of the plane and the sphere were different, the impact loads and deformations were depended on the ratio of the contact stress and the yield limit. The material in elastic stage had the lower impact loads compared with one in plastic stage. The material with plastic deformations would keep some residual stress and offset after the contact.