By means of the Monte-Carlo method based on the binary collision approximation, we investigate the depth distribution of displaced atoms in solids induced by fusion α-particles. The relations between the distribution of displaced atoms and the energy deposition profiles in solids are studied. The dependence of the incident energy and angle of a-particles, as well as the component of the target element on the depth distribution of displaced atoms are presented. It is shown that the displacement damage has close relation with the deposition energy caused by ion-bombardment. Also, the displacement damage created by fusion α-particles is stainless steel (Fe0.73Cr0.18Ni0.09) is less than that in SiC.