It is a practical need to select suitable medical sites from a large number of medical institutions for patients based on their needs and space-time constraints. Different from the common methods for personalized medical site recommendation, this paper proposed a new method of individual space-time accessibility analysis for the recommendation of medical sites, which considered the quantity of real-time resources of medical institutions, the personalized demands of medical users, and the space-time constraints to medical institutions. Next, this method was applied to select medical institution for urban residents. The proposed individual space-time accessibility analysis method is based on the gravity model, which is appropriately improved to enhance the method's metrizability and comprehensiveness. The method also integrates the time-geography science theory to enhance its practical applicability. Meanwhile, the path impedance factor in the model is interfaced with the AMap API, which enables the model to perform personalized real-time path calculation based on route preference and real traffic conditions. After obtaining data on relevant health care websites and open interface, this paper took Jinan as the research area and set up six scenarios, including two university libraries, two residential areas, and two large transportation stations with different users, different time, and different geographical locations, to test the effectiveness of the method. Results indicate: (1) The individual space-time accessibility analysis method in this paper considers several factors, not only emphasizing the objective constraints of real-time space-time resources, but also highlighting individuals' personalized demands. (2) The individual space-time accessibility analysis method in this paper is able to effectively measure the accessibility between individual medical users and medical sites based on the actual situation, not only adapting to different space-time situations, but also providing guiding strategies for improving the quality of medical travels. (3) By the individual space-time accessibility analysis method in this paper, the suitability of each medical site can be ranked and travel advices in different space-time situations can be made, i.e., the method has high applicability of recommendation. In addition, our individual space-time accessibility analysis method for medical place recommendation integrates the Location Based Service and medical treatments, bring a new approach to digital medical services, not only providing methodological support for the functional construction of the related wise information technology of 120, but also having good application prospects.