A magnet with very high homogeneity for the baby imaging is designed and will be fabricated. The optimal design method of short actively shielded superconducting magnet is presented based on nonlinear least square method. The superconducting magnet is cooled through a pulse tube refrigerator (PTR) with isolated vibration. The available diameter for the superconducting magnet is ¿ 500 mm. Diameter Sphere Volume (DSV), homogeneity and center magnetic flux density are ¿ 300 mm, 2 ppm and 1.5 Tesla, respectively. In the paper, the Electromagnetic (EM) design, stress analysis, quench protection and cryogenic system for the magnet are presented.