Numerical solution of singular Fredholm intergral equation of the second kind G.M.Attia, Edward M.Ibrahim, Fathi H.Youssef, R.A.Abd El-Monem Abstract In a previous paper a new three levels technique is proposed to modify some known iterative method for solving Fredholm integral equation of the second kind. This modification reduces the required time of computation to achieve the desired accuracy. In this paper the iterative three levels technique is used with the direct use of the product integration technique for highly accurate solution a singular linear Fredholm integral equation of the second kind. By this approach one avoids the dense linear system of equations that appear when using only the product integration technique.