Based on the correlativity of multivariate nonGaussian random processes, the proposed noniterative algorithm used for the univariate nonGaussian stochastic processes is expanded to simulate the multivariate nonGaussian processes. The coherency functions of underlying multivariate nonGaussian processes are dealt with by resorting to the correlativity of multivariate Gaussian processes, a noniteration based algorithm is developed for simulating the multivariate nonGaussian processes. The numerical simulations of the multivariate nonGaussian fluctuating wind pressure indicate that the noniteration based algorithms can effectively simulate the multivariate nonGaussian processes with low, middle, and high skewnesses, respectively.