This paper uses the theory of management and modern mathematics to analyze the scientific system and the mechanism of scientific and technological achievements, and analyzes it from the four aspects of the application of scientific and technological achievements, the commercialization of scientific and technological achievements, the industrialization of scientific and technological achievements and the internationalization of scientific and technological achievements And the weight of each index is determined by principal component analysis. In this paper, the performance of scientific and technological achievements in each region is calculated based on 30 regions in 2010-2016. The results show that the contract volume of technical market has the greatest impact on the performance evaluation of scientific and technological achievements. The performance of China's scientific and technological achievements is still at a relatively low level. The development of scientific and technological achievements in different regions is unbalanced, and there are obvious differences. The influencing factors have the necessity of in-depth analysis, so as to achieve the purpose of fundamentally improving the performance of scientific and technological achievements. Finally, the innovation and shortcomings of this paper are summarized.