A systematic, scientific and comprehensive understanding of the sports industry will better guide and promote the sustainable and healthy development of the sports industry. In this paper, under the perspective of evolutionary economics, the spatial development power mechanism and evolutionary trend of regional sports economy are studied. The evolutionary game theory is used to construct a sports economic growth pole model, which explains the reasons for the emergence of regional sports economy, the influencing factors and its spatial agglomeration effect. The dynamic relationship between the operation and development of the sports industry and the regional economic growth is discussed, and numerical simulation is carried out on the constructed model, and the measures and methods for the market regulation of the sports economy under different market sizes are given through the stability analysis under different oscillatory conditions. The simulation results show that the regional economic growth system, after a period of policy adjustment, will converge near the equilibrium point \(E(x_{1}^{\ast} = 0.063, x_{2}^{\ast} = 1.287, x_{3}^{\ast} = 0.119)\) And this point is the stable growth path of the sports economy development and regional economic growth system.
