Modifications were made in the vortex particle method by reducing the number of numerical parameters and adapting more accurate integration schemes. The method was applied to 0.15, 0.2 and 0.25 rectangles where the original method yielded poor results. Structure of vortex formation and its shedding in the wake was clearly shown, and vortex shedding was more regular than that without the modifications, while the time-averaged drag coefficients were nearly the same. It was confirmed the modified method could be used in the viscous vortex particle method.