The bending stiffness of fibrous reinforcements although weak plays an important role in the wrinkle development simulation, and the fibrous nature of continuous fiber textile reinforcement modifies their behavior especially the bending. The slippage between fibers and the quasiinextensibility of fibers make the theory of Mindlin and Kirchhoff not verified during the bending process of multi-layer reinforcement. Therefore, a specific shell formulation is proposed in this article. This shell approach can not only determine the transverse slippage between layers but also the rotations of material director.