To provide theoretical basis and technical support for high yield and quality production of mungbean，this research aimed to study the effects of different planting densities and application rates of nitrogen，phosphorus and potassium fertilizers on single index of yield，and comprehensive evaluation index of yield and quality of mungbean. A composite quadratic orthogonal regressive rotation design of four factors and five levels was used in the field experiment，with density and application rates of nitrogen，phosphorus and potassium fertilizers as experimental factors. Dry grain weight，pure grain rate，protein，fat，and starch were determined，and these five yield and quality indexes were weighted by combining the analytic hierarchy process and entropy weight method，using a combination weighting method based on game theory，and then the comprehensive evaluation index for yield and quality of mungbean was constructed based on dynamic technique for order preference by similarity to ideal solution. The quadratic regression mathematical models were established between single index of yield，the comprehensive evaluation index of mungbean yield and quality，and density and application rates of nitrogen，phosphorus and potassium fertilizers. Main factor，single factor，interaction effects and optimization schemes were analyzed. The weights of dry grain weight，pure grain rate，protein，fat and starch were 0.4070，0.2112，0.1246，0.0949 and 0.1623，respectively. Single yield index and comprehensive evaluation index of yield and quality showed a downward quadratic parabola in response to the increase of density，nitrogen application rate，phosphorus application rate and potassium application rate，respectively，if codes of other three factors were zero. The main effects of various factors on the single yield index and comprehensive evaluation index of yield and quality were as follows:density>potassium application rate>phosphorus application rate>nitrogen application rate，and there was a positive interaction between density，nitrogen application rate，phosphorus application rate and potassium application rate. When the density was 173004-194590 plant/hm²，and application rates of nitrogen，phosphorus and potassium fertilizers were N 67.33-77.84 kg/hm²，P2O5 107.26-116.75 kg/hm²，and K2O 86.90-90.81 kg/hm²，respectively，the yield and comprehensive yield and quality were superior.