In this paper, hybrid block method is obtained by combining the Block Backward Differentiation Formulas (BBDF) with block Simpson method for the numerical solution of first order Fuzzy Differential Equations (FDEs). The fuzzy version of the methods is discussed in detail under Seikkala differentiability concept. Numerical results obtained by the hybrid block method are presented and compare with the solution obtained by BBDF, Backward Differential Formula (BDF) and Euler method. Several numerical problems are presented to illustrate the efficiency of the proposed hybrid method.