A structure for adjusting electromagnetic wave (EM wave) penetration response includes a plurality of structure units and a dielectric substrate with an upper surface and a lower surface. The structure units are disposed on the upper surface and/or the lower surface. The structure unit consists of metal lines or complementary slits so as to enable an EM wave penetration response of the structure to include a pass band and a stop band. The frequency of the stop band is higher than that of the pass band. If a distance between the structure and an object with a high dielectric constant is longer than a predetermined distance, the pass band covers a radiation frequency of an antenna. If the distance between the structure and the object with the high dielectric constant is within the predetermined distance, the stop band covers the radiation frequency of the antenna.