Sports industry nearly 60 years’ rapid development has begun to take shape in worldwide. Sports industry brings into enormous economic benefits, especially for lots of developed countries in Europe and America, sports industry has already become core industry that occupies big advantage and belongs to economic system in national economy. By comparing, Chinese sports industry started later, though sports industry proportion of economy is constantly increasing, it still falls behind developed countries. Make use of sports industry relative statistical data from 2006 to 2008, starting from perspective of economy, it makes research on sports industry chain and its economic development relations, and researches sports relative industry and national economy’s correlations. Take economic development as reference; adopt mathematic method pursuing sports industries mutual relations. By establishing sports industry and economic grey mathematical model, it solves correlation degree, and carries out research on sports and its relative industries correlations and its correlations with economy, it concludes that Chinese sports industry chain sports leading industry items can better promote economic development and drive other sports industries development.