We researched the properties of magnetoelectric composites between antiferroelectric Pb0.94La0.04(Zr0.55Sn0.3Ti0.15)O3 and magnetic Terfenol-D. The magnetic field enhances the electric field-induced strain and polarization of the composite. The magnetic moment induced by the electric field increases at the electromechanical resonance frequency because the antiferroelectric ceramics exhibit ferroelectric behaviors under a high electric field. The induced magnetic moment increases with decreasing thickness ratio and shows a hysteresis loop with the bias magnetic field. Due to the antiferroelectric characteristics, it also shows a hysteresis loop with the bias electric field, which could be used in the magnetic switch controlled by electricity.