Abstract: The integration and development of the digital economy and manufacturing industry can effectively enhance the automation, intelligence, and digitalization level of the manufacturing industry. At the same time, the manufacturing industry also provides specific support and application space for the development of the digital economy. An analysis was conducted on the theoretical model and integration mechanism of the integration stage between the digital economy and manufacturing industry, and an indicator system for the deep integration development of the digital economy and manufacturing industry was established. In the study, entropy method, coupling coordination model, and grey correlation model were used to analyze the spatiotemporal differences and driving factors of the coupling coordination degree between the digital economy and manufacturing systems in 30 provinces of China from 2012 to 2021. The research results indicate that the integration and development of the digital economy and manufacturing industry is a long and complex process. Therefore, it is necessary to strengthen the investment of driving factors to promote the development of digital economy and manufacturing industry while conducting scientific measurement of digital economy and manufacturing industry.

Key words: digital economy, manufacturing industry, integrated development, system coupling