Abstract: This plates paper proposed a new displacement model for laminated composite on the bases of the model in Reference (4).The assumptions are introduced as following: a)The material ef each Iayer is homogenous and has a plane of elastic symmetry; b) Every layer is stuck to each other perfectly; c) The tranverse-stress σ_z and .strain ε_z are negligible; d) The tranverse shear stresses and τ_xz are quadratic functions of z. With these assumptions and the continuity of the displacements,the displacment expressions are obtained,Obviously,this model satisfies the continuitis of displacements and stress on the interfaces of layers.Then the. equilibrium equations and the boundary conditions are derived from Hellinger-Reissner's principle. This model has five unknowns u_o, v_o, ζ_x, ζ_y, and w.The plane-stress state and bending state in the model in the model is uncoupled only in the case that the plate has a symmetric plane and the material is orthotropic in Euclid coordinate system. Some examples show that this model. has high precission compared with the model in Reference (4).