In this study, iterative methods particularly families of Alternating Group Explicit (AGE) methods are used to solve system of linear equations generated from the discretization of two-point fuzzy boundary value problems (FBVPs). The formulation and implementation of the Full-Sweep AGE (FSAGE) and Half-Sweep AGE (HSAGE) methods were also presented. Then numerical experiments are carried out onto two example problems to verify the effectiveness of the methods.© 2014 A. A. Dahalan, J. Sulaiman and M. S. Muthuvalu.