Abstract: Considering the nonlinear deformation characteristics of unbalanced plain woven glass fiber fabric, the in-plane deformation behavior based non-orthogonal material constitutive and out-plane bending behavior were involved into a coupling finite element consisting membrane with shell element to predict the deformation behaviors of the fabric during draping process. Using the commercial finite element software ABAQUS combined with experimental method, the influence of boundary conditions on the deformation behavior was discussed. The results show that the fiber shear angle of the preformed blank increases with the increase of blank holder force in the experiments. The fiber shear angle of the preformed blank increases with the improvement of friction coefficient in the finite element model, and the simulate results are closer to the experimental results when the friction coefficient is 0.20. Compared to the model established with single-layer membrane element, the membrane-shell element model considering bending stiffness shows higher agreement with experimental results. Studies show that the bending stiffness is essential to enhance the accuracy of the simulation model, which plays an important role in the prediction of shear angle in draping process.