Anti-Stokes scattering is the four-wave mixing effect of the frequency up conversion. Generally, the conversion efficiency of the anti-Stokes laser is lower. Therefore, it is particularly important for improving the performance of the laser through guiding experiment of theoretical optimization. In this paper, the rate equations of intracavity anti-Stokes lasers under plane wave approximation are normalized. By numerically solving the normalized rate equations, a group of universal theoretical curves are obtained to describe the operation of the intracavity anti-Stokes lasers. The influences of the compound normalized variables on the performance of the intracavity anti-Stokes lasers are analyzed. The normalized theory is verified with actual experimental data. The result indicates that the single pulse energy, pulse peak power and pulse width of the intracavity anti-Stokes laser estimated from the normalized theory are consistent with the measured data. The proposed normalized rate-equation model is proved correct and feasible.