Abstract: In order to investigate the influence of turbulent wind with various characteristics on the aerodynamic admittance of cross sections of the bluff body, simulated are single-frequency harmonic turbulence, Gaussian and non-Gaussian broadband turbulence. Computational fluid dynamics (CFD) is applied to identify the lift aerodynamic admittance of a rectangular cross-section with an aspect ratio of 1:5 under different inflow characteristics, along with the analysis of its differences and influence mechanism. The results show that: the lift aerodynamic admittance under single-frequency harmonic turbulence has a platform that is significantly larger than the Sears function at low frequency, and it decreases more slowly with the increase of frequency under broadband turbulence. As for broadband flow, under larger turbulence intensity or stronger non-Gaussian characteristics, the lift aerodynamic admittance is larger as a whole along with a drastic fluctuation. The variation of incoming flow characteristics significantly affects the pressure distribution, non-Gaussian characteristics and spatial correlation on the rectangular surface, resulting in differences in lift aerodynamic admittance. In addition, the higher-order term of the buffeting force cannot be ignored under non-Gaussian turbulence.