In this article some numerical methods, namely: the Taylor expansion method and the Trapezoidal method have been implemented to solve a fuzzy Fredholm integral equation of the second kind. Consequently, we convert a linear fuzzy Fredholm integral equation of the second kind into a linear system of integral equations of the second kind in crisp case. To demonstrate the credibility of these numerical schemes we consider a numerical test examlple. The numerical results show to be in a close agreement with the exact solution.