To investigate the effects of a number of factors on the output power balance of high-power solid-state laser facility, the power-imbalance problem of the largest solid-state laser facility which is now building in our country was preliminarily analyzed by the integrated analytic model for multi-beam laser power balance which has been developed. First the setup procedure, the functional characteristics and the main algorithms of the model were introduced. Then, the integrative influence of systematic and random deviations on opower balance was analyzed by single Haan pulse. The results showed that the power imbalance of the facility can be satisfied on condition that the systematic deviations were fully compensated, and the jitter of injection energy was 3%, and the jitter of amplifier gain coefficient was 1.5%, and the jitter of doubling-crystal detuning angle was 2%. Finally, the random-deviation specification was preliminarily allocated according the numerical calculation.