Cloud computing is the key supporting industry to win the competition in the era of artificial intelligence, and it is a battleground between China and the United States. It is significant for China to scientifically plan its development strategy and improve its competitive strength to scientifically predict the development trend of various technical topics between the two countries. Taking patents in the field of cloud computing in China and the United States as sample data, this paper uses WI-LDA to fine-grained mine technical topics, then uses Prophet to model and predict its development trend. Finally, create topic trend degree and topic heat index, draw the spatial distribution map, and interpret the development trend of the two countries. The United States started early in the field of cloud computing and has more advantages than China in fault detection and repair, cloud security, hybrid storage control device, and memory management. Although China started late in the field of cloud computing, it is developing rapidly. It makes a broad space for development in the digital computing center, signal transmission system, software simulation, cloud resource encryption, image data recognition and other aspects. The United States has taken the lead in most technical topics. China still needs to build a good cloud computing development environment, adhere to the independent and controllable development direction and cultivate core competitiveness.