The aim of this paper is by using an approach of grey dynamic metrological to investigate sport economy. Researching on how to improve the economic benefit of sport investment is the core of economic activities. On the basis of basic structure of grey theory system, this paper do some basic theory research on various type problems of sports economy and build a sports economic basic framework based on grey dynamic metrological method from the perspective of solving problems in poor information and dynamic way. Under the current sports economic statistics dire circumstances, this frame work can smoothly carry out sports econometric work and provide scientific and effective quantitative method.