Smart health systems have the potential to improve the life and the provided health quality. Since the collaborative working is important in healthcare, the integration of Blockchain for the distribution of real-time patient health becomes more and more important because non-authorized access can result in health risks or private information disclosure. Many Blockchain healthcare applications have been proposed to manage the patient information, however, there is still a lack of providing a smart real-time healthcare monitoring and tracking system. This paper therefore proposes a Real-Time Healthcare system (RTH-Care) based on Blockchain technology that supports the life cycle of a patient in the healthcare system. In particular, we improve the quality of the healthcare system by ensuring a consensus around tests and information about the patients and by centralizing the prescription system. Furthermore, we collect patient health data by integrating medical IoT devices. Subsequently, we provide a data access control to restrict access to the granted persons. The performance analysis of the implementation of RTH-Care with the Hyperledger Fabric tool is showing promising results. An analysis of the communication failures is discussed by using Hyperledger Caliper. Indeed, the obtained results show that our solution is reliable and scalable in terms of the number of transactions per second processed by the network, and the average latency measurements.