Abstract: A jiggle particle swarm optimization(JPSO) algorithm has been presented for the multi-parameter optimization of 2D magnetostatic problem. Given a target curve of axial magnetic flux density along the axis of symmetry, it can find rotating axisymmetric magnetic structures whose distribution curve of magnetic flux dnesity is close to the target one. This algorithm is divided into two phases. In the first phase, up-and-down test method (jiggle) is adopted with continuous reference to the best particle’s information. In the second phase, basic particle swarm optimization algorithm is adopted. The JPSO algorithm shows multi-core computer’s potential in engineering design multi-parameter optimization of 2D magnetostatic problems. Even if there is only a few particles, its successive results ca