The research on the analytical calculation and design method of bulk acoustic wave (BAW) magnetoelectric antenna is not mature. In view of the errors of existing analytical calculation methods, a set of relatively accurate analytical calculation method for BAW magnetoelectric antennas is proposed. The potential energy of piezoelectric layer and magnetostrictive layer in the magnetoelectric antenna is calculated by the analytical method, and the total potential energy of the magnetoelectric antenna is calculated. Since the radiation power of the magnetoelectric antenna is determined by the aperture electric field of the magnetostrictive layer surface, the constitutive equation is used in this paper to replace the aperture electric field with the sinusoidal stress field, and the average radiation power of the magnetoelectric antenna is calculated, and then the normalized antenna radiation quality factor is obtained. By comparing and analyzing the normalized potential energy, average radiation power and radiation quality factor of the magnetoelectric antenna with different layers, the optimized three-layer alternating stacking structure of ‘piezoelectric layer-magnetostrictive layer-piezoelectric layer’ is obtained, and the optimal multi-layer design of the radiation performance of the magnetoelectric antenna is realized.