Based on the time history of wind pressure collected from the wind tunnel tests on a high-rise building at Xiamen coast，four points with obvious non-Gaussian characteristics were found out by the calculation of fractal dimension，skewness and kurtosis.Considering the fractal characteristics of time history of fluctuating wind and the correlation distortion method，the non-Gaussian fluctuating wind pressure was simulated by adopting fractal Weierstrass-Mandelbrot function.Comparison of simulation results with experimental results in the aspects of probability distribution，power spectrum，fractal box dimension，skewness and kurtosis，showed better consistency.Therefore，it is feasible to simulate the fluctuating wind pressure with non-Gaussian characteristics by using fractal method.The method makes up for the shortcomings of traditional linear filter and superposition of harmonic，and provides a reference for the simulation of non-Gaussian fluctuating wind pressure.