In this paper, an approach to the design of hemispherical breast RF coil array is proposedThe target field method is applied to find the current density distribution on the hemisphere surface, which induces a homogeneous magnetic field in a hemispherical volumeThe components of current density are expanded into Fourier series, and the highly ill-conditioned character of the linear equation related to Fourier coefficients is solved using the Tikhonov regularization method with a minimum curvature penalty functionThe winding pattern was acquired using the stream function techniqueThe results indicate that a simple winding pattern with homogeneous magnetic field can be obtained through manually selecting the penalty factor.