In order to improve the radiation bandwidth of the Fabry-Perot Cavity (FPC) antenna, a new approach has been proposed, namely employing a tapered corrugation structure on the ground plane. To verify the proposed method, a wideband high-gain FPC antenna is designed. By introducing the corrugation structure, the height of the cavity can be gradually reduced. In this way, the phase of the radiation field can be compensated, which leads to a well-distributed radiation aperture. Therefore, the 3dB gain bandwidth can be enhanced. This structure is calculated by the CST Microwave Studio. The results validate the proposed approach, which helps 3dB gain bandwidth improvement from 17% to 24%. Moreover, the 10dB impedance bandwidth and the maximum realized gain remain unchanged, that is, 35.7% and 14.7dBi, respectively. This design can be widely used in many applications, such as wireless communication, due to its relatively wide bandwidth.