The central issue of this paper is to continue the investigation of convergence properties of Urysohn type operators. By using Urysohn type operators we will extend the theory of interpolation to functionals and operators. In details, the present paper centers around Urysohn type nonlinear counterpart of the two dimensional Stancu operators dened on a triangle. We construct our nonlinear operators by using a nonlinear forms of the kernels together with the two dimensional Urysohn type operator values instead of the sampling values of the function. Afterwards, we investigate the convergence problem for these nonlinear operators.