In this paper, a method for reducing the eddy current induced in the magnet with an eddy-current-resisting board by reducing the radius of the gradient coil is proposed. First, the method is analyzed using a theoretical model. Then a gradient coil with reduced radius is designed by using a target field method, and the gradient linear region is verified by using the Biot and Savart's law. Finally, an experiment is performed to testify the result proposed in principle.