Abstract: To solve the problem that there is obvious cycle interference in the result of horizontally motion-blurred images restoration with normal blurred model,we analyzed the boundary pixels,and proposed two restoration models of blurred image,one of which is based on zero-boundary-pixels and another is based on Neumann boundary.The new methods reduced cycle interference effectively.We restored images through the generalized inverse matrix.Experiments have showed that the method is simple and feasible,and using the method can obtain a better recovery results.