Progressive failure of triaxial woven fabric (TWF) composite panels subjected to uniaxial extension is studied numerically and experimentally. In numerical study, TWF panel is discretized respectively using linear and nonlinear super-finite-elements proposed here. Tensor polynomial progressive failure procedure is employed with maximum stress criterion, Hoffman criterion and Tsai-Wu criterion. Two displacement-loading cases are considered. The first and ultimate failure loads, maximum extension displacement, locations and modes of failure are estimated and compared with experimental data.