The finite segment method, a discrete coordinate method for a flexible beam, was extended to a regular flexible plate，which is regarded as a multirigid bodies system with many compliance (stiffness、damping) joints. The basic idea and theoretical background of the discrete coordinate method were expounded, and the dynamic equation was built by NewtonEuler method. In virtue of finite element software and dynamic simulation program, this paper proved that the discrete coordinate method can be used for dynamic analysis of multibody systems with regular flexible plate undergoing nonlinear deformations.