The macroscopic hyperelastic behavior of fiber reinforced polymer composites is studied using the micromechanical model and finite deformation theory. It is assumed that the fiber and matrix are hyperelastic media and undergoing finite deformation. The local fields of a representative volume element are calculated by the hyperelastic finite element method. Then an averaging procedure is used to find the homogenized stress and strain and the macroscopic curves of stress-strain are obtained. The several microstructural parametric effects on the macroscopic hyperelastic behavior are considered. The numerical examples show the hyperelastic behavior and deformation of the composites.