In this paper, we develop a model to describe the anisotropic hyperelastic behavior of rubber sheet reinforced by a textile fabrics of fiber. The isotropic part is modeled by the Mooney-Rivlin model, and the anisotropic behavior is also modeled by using an invariant of the right Cauchy-Green deformation tensor. In addition, we propose a simple reliability varification test for shear behavior. A couple of numerical results shows a practical efficiency, but the results of the validation using the proposed reliability test reveal limitations of the proposed model.