Abstract: This paper presents a new rapid algorithm to accelerate parameter-sweep of 2D magnetostatic design problem: All designed structure parameters were jiggled in a fixed mesh space. To speed up the iteration process of finite difference method calculation for vector magnetic potential after jiggle, new initial potential distribution was constructed according to the former one in the mesh space. At least 1/2 parameter-sweep time can be reduced with this algorithm and the calculated results are good agreement with those of normal calculations.