Abstract: stress-strain behavior of 2D weave ceramic matrix composite isstudied by experimental and theoretical methods. The 2D weave structure issimplified as a crossply structure and a fiber bundle undulationstructure.Based on the matrix strength stochastic distribution theory and the fiber failurestochastic distribution theory, the stress-strain behavior and the tangent tensilemodulus are obtained for unidirectional composite (0^\circ ply).With the relationship between crossply and unidirectionalceramic matrix composite with the same material,the stress-strain behavior of crossply ceramic matrixcomposite can be obtained. A two-dimensional analytical method isproposed for fiber bundleundulation structure. With the composite strength model, the undulationstructure is divided into sub-elements. The failure analysis is carried outconsidering the failure of different sub-elements in the fiber bundle undulationstructure. Moreover, the stress-strain behavior of the undulation structure isobtained. Combining the crossply and the undulation structure's stress-strainbehavior, the stress-strain behavior of of the 2D weave ceramic matrix composite isobtained; and the result agrees well with the experimental result.