<p>Many engineering systems incorporate viscoelastic membranes of different geometries and boundary conditions experiencing large deformations. This paper presents a formulation based on the theory of nonlinear viscoelasticity. First, the kinematics of membrane deformation is expressed in three-dimensional space, and then the viscoelastic formulation for membranes is obtained based on the multiplicative decomposition of the tensor of deformation gradient. Also, the right Cauchy-Green viscoelastic tensor is considered as an internal variable. To solve the integration of evolution equation, a predictor-corrector method is used. Finally, due to the nonlinearity of the equations governing the problem, a nonlinear finite element formulation is derived. To check the effectiveness of the obtained formulation, several problems are studied. The comparisons show that the results of this formulation are in good agreement with the analytical and experimental results in the literature. It is shown that the current simplified viscoelastic model can successfully predict the results in the literature with more complicated viscoelastic models. Moreover, it is proven that the present model can predict the experimental data with just four material parameters, while the previous models should employ 12 material parameters. Therefore, the model presented in this paper is capable of predicting the experimental results more accurately with fewer material parameters.</p>