High-power solid-state laser facility should provide careful power balance among beams for satisfying physical experiment requirement. To study effects of a number of differences on the output power balance, the power-balance integrated analytic model of high-power solid-state laser has been established. First, the detailed description was made for that how the model was built, and the main algorithms. The model was developed based on the amplification, propagation and frequency conversion of narrow-band pulse laser. The model can solely analyze the influence of system deviation, or of random deviation on the output power balance, or together. Finally, the output-power-balance results at three conditions were analyzed by Haan pulse shape to meet 10% rms power imbalance requirement of the largest solid-state laser facility which is now building in our country, as well as the subsystem random-deviation specification was preliminarily allocated. The model was first used to obtain a basic understanding of the factors that determine the power balance for shaped pulse. It was a powerful tool to analyze the problem of the power balance of large solid-state laser facility.