Abstract: According to characteristics of Gaussian beam scattering from the target, correlation function of the statistical characteristics of Gaussian beam scattering from the target is studied in this paper. Under the laser beam incidence，numerical methods are used to calculate the correlation function of a sphere changing with scattering angles in different radii, material, incident condition, and so on. The mutual correlation functions of metal film material have larger values than that of painted non-metal materials. There exist a stronger backward-scattering of metal film material sphere and a stronger forward-scattering of non-metallic paint sphere. Roughness of material film surface and dimension of sphere have bigger influences on the correlation functions of scattering fields, while mutual correlation functions have nearly the same distribution in different incident beam polarization. Our further works will be based on studying other high order statistical moments of laser beam scattering from target with rough surface.