Recently,Wazwaz has studied the regularization method to the one-dimensional linear Fredholm integral equations of the first kind in [5]. In this work, we develop this method to the linear and nonlinear two-dimensional Fred-holm integral equations of the first kind. Indeed, the regularization method is used for linear integral equations directly. But nonlinear integral equations of the first kind are transformed to linearintegral equations of the first kind by a change of variable, then The Regularization-Homotopy Method is applied.The combination of the regularization method and the homotopy perturbation method, or shortly, the regularization- homotopy method is used to find a solution to the equation. Some examples will be used to highlight the reliablity of the generalized The Regularization-Homotopy Method