Firstly,the JME(Jones matrix eigen) method is used to simulate the statistical characteristics of first- and second-order PMD in dispersion management system.Then,with help of the CNLSE (coupled nonlinear Schrdinger equations),the effects of PMD on DMS (dispersion managed soliton) transmission is studied with a variational method.The simplified relationships of the statistical parameters of second-order and first-order of PMD in dispersion management system have been gotten,from which the detailed information of second-order can be obtained,if the condition of DGD is given.The results have shown that the first and second-order PMD (polarization mode dispersion) vectors influence the evolution of energy and Mean square of time displacement of DMS in high-speed bit rates systems.When D~ 1 st _ PMD >0.3 ps/km~1/2 ,we must consider some means of control(for example the filter) to restrain the PMD. Firstly, the JME (Jones matrix eigen) method is used to simulate the statistical characteristics of first- and second-order PMD in dispersion management system.Then, with help of the CNLSE (coupled nonlinear Schrdinger equations), the effects of PMD on DMS (dispersion managed soliton) transmission is studied with a variational method. The simplified relationships of the statistical parameters of second-order and first-order of PMD in dispersion management system have been gotten, from which the detailed information of second-order can be obtained , if the condition of DGD is given. The results have shown that the first and second-order PMD (polarization mode dispersion) vectors influence the evolution of energy and Mean square of time displacement of DMS in high-speed bit rates systems. Shen D ~ 1 st _ PMD> 0.3 ps / km ~ 1/2, we must consider some means of control (for example the filter) to restrain the PMD.