With the aging of the population becoming more and more serious, the health care intervention mechanism for the elderly has also attracted the attention of many scholars. With the rapid development of social economy, intelligent medical treatment, intelligent sports rehabilitation, and other security means have become the main ways to help the elderly improve their health. This paper studies the health assessment and health care intervention measures of the elderly based on the intelligent sports rehabilitation model under the background of big data. First of all, from the security problems faced by the elderly medical care, this paper analyzes the impact of intelligent sports rehabilitation on the elderly medical care. Adopt big data analysis and data mining technology to calculate and evaluate the health index of the elderly and establish a multidimensional machine evaluation system to provide data sources for the intelligent sports rehabilitation model. Secondly, combine the Internet of Things with intelligent sports medicine to build a rehabilitation assistant robot model. Finally, from the perspective of physical function, this paper analyzes the degree of health medical intervention of the intelligent sports model on the elderly and puts forward targeted optimization measures. Research shows that in the intelligent sports rehabilitation model, the health index of the elderly is closely related to sports activities. The sports rehabilitation auxiliary machine constructed with big data technology can effectively improve the medical intervention ability and has obvious effect in practical application.