The draping and buckling of woven fabric are simulated with the finite element method based on the micro-mechanical constitutive model and orthotropic constitutive model under gravity load. Compared with the traditional orthotropic mechanical model of the fabric, the micro-mechanical constitutive model characterizes the special properties of woven fabric due to its micro-weaving structures. The woven fabric sheet is discretized with 8-nodes shell elements which are designed for finite deformation and suffice to describe the large rotation of fabric sheet during draping, for the sake of simplicity, the nodes of the fabric sheet on the edges of the desk are assumed to be fixed. Compared with the experimental ones, the simulation results with the micro-mechanical constitutive model are in good agreement with the observations. The work paves the way for developing a virtual clothes trial system.