The rapid numerical difference recurrence algorithm is used to analyse the nonlinear Schrdinger equation (NLSE) in which the chromatic dispersion and the nonlinearity act together with polarization mode dispersion.And it is used to study the optical pulse transmission with polarization mode dispersion.The calculated results by using the rapid numerical difference recurrence algorithm are contrasted with the analytical results and the results of the split-step Fourier method (SSFM) and indicate that the rapid numerical difference recurrence algorithm is very accurate and more reasonable.It is concluded that the new method is scientific and reasonable for the study of light pulse propagation with polarization mode dispersion.Moreover,it is used to study the pulse distortion and the pulse broadening in the optical pulse transmission with polarization mode dispersion .As a result ,some valuable curves are obtained to help design the optical transmission system.