The investment in science and technology can affect the economics growth of the petrochemical enterprises, and researches on it are very important, therefore the grey relational degree analysis is applied in analyzing it. Firstly, Situation of investment in science and technology from 2004 to 2013 of the petrochemical enterprises is summarized. Secondly, the basic theory of grey relational analysis is studied. Thirdly, the analysis steps of the grey relational analysis for analyzing the investment in science and technology and economics growth of the petrochemical enterprises for the petrochemical enterprises are designed. Finally, the calculation is carried out for analyzing this relationship; results show that there has a positive correlation between the investments in scientific and technical personnel with economics growth of the petrochemical enterprises.