This paper addresses the MIMO-OFDM channel simulator in state space representation which is based on the spatial-temporal-spectral correlation due to clustered radio propagation. The scattering clusters are assumed to be 2D Rayleigh clusters. This renders AOD, AOA that can be approximated as the Gaussian angular power distributions, and TOA that can be approached as the Gaussian delay power distribution. Thus, the spatial-temporal-spectral correlation can be approximated as the product of an AR(3) process and the corresponding spatial-spectral correlation. A state space model is used to the temporal dynamics of the MIMO channels. The contribution of the cluster to each antenna is a state in this model. A correlated innovation process adjusts the correlation between antennas and frequencies. This renders the appropriate spatial-temporal-spectral channel correlation in the simulated channels.