Abstract: 2D weave structure is simplified as crossply composite laminate. A simplified shear lag analysis using a progressive scheme is proposed for crossply structure under monotonic tensile loading conditions. Closed form solution for stress distribution and traverse crack density of damaged plies as well as the entire laminate can be obtained as a function of the applied load. Based on stochastic matrix crack evolution, according to theory of stochastic fiber damage and ultimate failure, this paper obtained stress-strain behavior and tangent tensile modulus related to the applied load of the 0o ply in crossply structure. Substituting tangent tensile modulus into the simplified shear lag analysis of crossply composite laminate, the stress-strain curve in 2D weave ceramic matrix composite is obtained and is in good agreement with experimental results.