The model of bi-dimensional correlated K-distributed Random turbulent is attained by the modified spherically invariant random process (SIRP) method. Then the bi-dimensional correlated K-distributed Random fields are obtained on the base of the assumption of spatial correlation on the one- norm. The various state experience problems of SIRP method are resolved, which is the inherent characteristic of SIRP method. The slot error rate and channel capacity of bi-dimensional correlated K-distributed channel model are caculated, compared with K-distributed channel model. The results indicate that the method of simulation of turbulent channel can be well controlled by the K-distribution of turbulent component distribution and statistical characteristics, and the validity of this modeling lays the foundation for the research of channel estimation.