Assuming that the Raman gain profile of silica is a linear function, the authors have given analytic solutions of N-channel stimulated Raman scattering (SRS) st eady-state coupling wave equation. Considering the SRS cross coupling among the N-channels, the analytic solutions are applicable to systems with arbitrary chan nel separation and input light power. Theory shows, that the ratio of photon flu xes between arbitrary two channels is a base-e exponential function of the effct ive fibre length, the total input photon fluxes, and the Raman gain coefficient between the two channels. Finally, the analytic solution is compared with the nu merical one, both are in good agreement with each other.