Using the center of gravity model and spatial coupling model, this paper analyzes the spatial and temporal evolution of the center of gravity of logistics, economy and three industries in China from 1998 to 2018 and reveals the coupling laws and characteristics. The results show that :(1) The center of gravity of logistics moves to the southwest in general, it is susceptible to external influences. There are both stability and difference of movement in special time in the change. (2) The economic center of gravity tracks to the northeast first, then fluctuates to the west and finally moves to the southwest. It can be seen that the east-west economic gap is narrowing and the north-south gap is slowly expanding. (3) The center of gravity of the primary industry moves to the northwest first and then to the southwest. The center of gravity of the secondary and tertiary industries moves in a similar trajectory, both moving in a westward and southward direction. (4) In terms of spatial overlap, the industry with the highest coupling between the center of gravity of logistics is the tertiary industry and after then become the primary industry, indicating that the development of the primary industry is increasingly dependent on logistics. On the consistency of spatial change, the second industry is more consistent with the change of the center of gravity of logistics, which indicates the close relationship between logistics and the development of the second industry. The coefficient of change value of the center of gravity of logistics and the tertiary industry in the same direction is large, which indicates that the regions with developed tertiary industry are more attractive to logistics.