In this paper, we study numerical method for Fuzzy differential equations by Runge-Kutta method of order three. The elementary properties of this method are given. We use the extended Runge-Kutta method of order three in order to enhance the order of accuracy of the solution. Thus we can obtain the strong Fuzzy solution.In this paper, we have introduced and studied a new technique forgetting the solution of fuzzy initial value problem. The organized paper is asfollows: In the first three sections, we recall some concepts in fuzzy initial value problem. In sections four and five,we present Runge-Kutta method of order three and its iterative solution forsolving Fuzzy differential equations. The proposed algorithm is illustrated by anexample in the last section