Investment in science and technology and economic growth has always been to learn concern. Based on Grey Relational Analysis method, combined with the Shanxi Province 2001-2011 years of investment in science and technology and economic growth data, analyzed the relationship between the scientific and technological input indicators and GDP growth. The research shows that: the strength of investment in science and technology has a strong relationship with the region's economic growth, investment in R & D spending the most significant impact on economic growth, scientific and technical personnel into the impact of second. Finally, the research results, the corresponding policy recommendations.