ARMA model is employed to simulate fluctuating wind speed time-history series of large-span structures, which has time and space correlativity. And the Whittle iteration method is improved to derive the matrixes of auto-regressive and moving-regressive coefficients. The corresponding computational program is developed by MATLAB software. Numerical examples indicate that this method is efficient and speedy. In addition, Spatial-temporal Kriging interpolation is also proposed to simulate the fluctuating wind speed time-history series of unknown pointes near the simulated points based on ARMA model. Results from the simulations show the approach , swift and accurate , is available to simulate the fluctuating speed time-history series of complex long-span space structures and high-rise buildings containing plenty of joints.