Magnetic field theories for the design of highly homogeneous magnet are introduced and a nonlinear optimization method for the design of actively shielded superconducting magnet is presented. The presented design method can optimize both main coil and shielding coil simultaneously by setting constraints on stray field intensity at a specified distance from the magnet center. A 2-Tesla actively shielded superconducting magnet, with 90cm bore diameter, is designed using the presented method. The field homogeneity is 2ppm/30cm DSV and the 5 gauss stray field contour is within 4m axially and 3m radially from the magnet center. (author)., 7 refs., 6 figs., 3 tabs.