Title Convergence of an Approach for Solving Fredholm Functional Integral Equations Type of Research Article Keywords Functional integral equation, Fredholm, Product Nystrom method, Lagrange interpolation, Convergence. Abstract In this work, we give a product Nystrom method for solving a Fredholm functional integral equation (FIE) of the second kind. With this method solving FIE reduce to solving an algebraic system of equations. Then we use some theorems to prove the existence and uniqueness of the system. Finally we investigate the convergence of the method. Researchers Nasser Aghazadeh (First Researcher)، Somayeh Fathi (Second Researcher)