A museum is a historical and cultural center with important conservation significance. In this work, the minimum light damage spectrum of paper cultural relics and solar spectrum are mixed in 11 different proportions by MATLAB software. In addition, REDOX index and the full-spectrum index are used as evaluation indices to calculate the damage degree and comfort level of the mixed 11 spectra. The monochrome light emitting diodes (LEDs) on the market are investigated, and a simulation database of 109 monochromatic LEDs is established by using the state joint state density function as the spectral radiation model. The nine mixed spectra with solar spectral weights from 0.1 to 0.9 are used as the target spectra. The monochromatic LEDs and 2850 K warm white LED in the database are fitted to calculate the optimal solution, and the spectral combination scheme is obtained by parameter comparison. A hybrid light source is designed by LIGHTTOOLS simulation software, and chromaticity analyses are carried out for the five light sources with solar spectral weights of 0.1, 0.3, 0.5, 0.7, and 0.9. The results prove the feasibility of the theory of mixing the solar spectrum with the minimum light damage spectrum to improve the comfort and color rendering of the light source. This will have a certain guiding significance for the lighting of the museum.