In this paper, we consider the two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). The homotopy analysis method (HAM) is used for determining the approximated solution of the investigated equation. We convert 2D-NVFFIE to a system of nonlinear Volterra-Fredholm integral equation in crisp case. Hence, we obtain an approximate solutions of this system and consequently obtain an approximation for the fuzzy solution of the Volterra-Fredholm fuzzy integral equation. We proof the convergence of the proposed method and error estimation between the exact and the approximate solution. A numerical example is given to demonstrate the validity and applicability of the proposed technique.
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