Abstract:stress-strain behavior of 2D weave ceramic matrix composite is studied by experimental and theoretical method. 2D weave structure is simplified as crossply structure and fiber bundle undulation structure; Basing on matrix strength stochastic distributing theory and fiber failure stochastic distributing theory, stress-strain behavior and tangent tensile modulus related to applied load of unidirectional composite (0°ply) are obtained. Utilize the relationship of between crossply and unidirectional ceramic matrix composite stress-strain behavior, when their material is the same, one can obtain stress-strain behavior of crossply ceramic matrix composite. A two-dimensional analytical method is presented for fiber bundle undulation structure. Introduce composite strength model, the undulation structure is divided into sub-elements, in the meantime including linear behavior and non-linear behavior of sub-elements owing to off-axial loading. The failure analysis is carried out considering the failure of different sub-elements in fiber bundle undulation structure. Moreover,stress-strain behavior of undulation structure is obtained. Combine crossply and undulation structure’s stress-strain behavior, stress-strain behavior 2D weave ceramic matrix composite is gained; and theoretical result is well agreed with experimental result.