The power industry accounts for more than 40% of global carbon emissions from power generation. The decoupling of carbon emissions and economic growth in the power industry has a great impact on the realization of global social and economic sustainable development. In this paper, Tapio decoupling model is used to explore the decoupling state between carbon emissions and economic growth in the power industry of China and the United States from 2000 to 2019. Then, combined with the logarithmic mean Divisia index (LMDI) model, the driving factors affecting the decoupling state of the power industry are analyzed. The results showed that: (1) From 2000 to 2019, China's carbon emissions from the power sector increased significantly, with an average annual growth rate of 8.3%, while those from the United States declined steadily at a rate of ‐ 1.2%. (2) During the study period, China's power sector carbon emissions experienced growth connection and weak decoupling in most years, while the United States experienced strong decoupling. (3) In general, power structure and power intensity are the main factors that promote the decoupling of carbon emissions in the power sector between China and the United States, while economic growth and population are the factors that inhibit the decoupling of carbon emissions.