Abstract: Coherent correlation radar clutter is mostly generated by extending zero memory nonlinearity (ZMNL) for corresponding incoherent coefficients clutter. The premise of ZMNL is the nonlinear relation between the correlation coeficients before and after nonlinear transform is known. But for the coherent correlation tributed clutter, such a nonlinear relation is difficult to find. In this paper, the simulation model of coherent correlation K distributed clutter using spherically invariant random processes (SIRP) is presented and as an example, the Gaussian spectrum clutter is simulated the results proved the validity of this scheme.