We consider the fuzzy two-point boundary value problem (FBVP) subject to some fuzzy boundary conditions on an interval [a, b]. Numerically, we start by transforming the two-point boundary value problem into a system of fuzzy initial value problems (FIVP). To solve the resulting system, we use an improved s−stage Runge-Kutta Nystrom 4th order method adopted to handle fuzzy problems. Numerical results will be presented to give the numerical details and to show the efficiency of the method.