In solving system of linear equations, Jacobi method is one of the methods with fewer computations, but its rate of convergence is low. Thus Refinement of Jacobi methods was proposed to improve the convergence rate. However, Refinement of Jacobi method has never been tested in fuzzy linear equation especially in bigger systems. This paper presents Refinement of Jacobi method in solving a 5 × 5 fuzzy linear system. A numerical application is presented to illustrate the method. It was found that the rate of convergence is relatively faster with 46 iterations. It is a new evidence to test the convergence of Refinement of Jacobi method in solving fuzzy linear systems.