Herein, to achieve effective stimulated Raman conversion of the secondary Raman mode in addition to the Raman breathing mode and to obtain lasers with more coherent wavelengths, based on the rate equations of passive Q-switched internal cavity solid-state Raman lasers, the rate equations of passive Q-switched internal cavity Raman lasers with two Raman light outputs were derived and the equations were normalized. Moreover, the expressions of the normalized peak power and pulse energy of two Raman beams were derived. Numerical simulation shows the influence of each normalized parameter on output pulse the characteristics of the two Raman beams. The optimum values of these normalized parameters were numerically obtained to achieve efficient stimulated Raman scattering conversion of the secondary Raman mode. Further, the related experimental parameters were simultaneously verified and optimized the best experimental results.