In this paper, we introduce a nonlinear phase noise suppression method for Coherent Optical Orthogonal Frequency-Division Multiplexing (CO-OFDM) systems based on Gaussian Basis Expansion (GBE). In comparison with previous phase noise suppression approaches, it enhances the system's tolerance to nonlinear phase noise evidently, effectively mitigating the nonlinear phase noise in CO-OFDM systems. The proposed method is theoretically analyzed and its efficacy is validated through simulations using VPI Software.