1. Method of health monitoring implementing a medical diagnosis established by a medically-qualified person concerning a remotely-monitored patient, in particular at his home, and monitored via a communications network, charaterized in that: The medically-qualified person associates medical data with health actions in a server via monitoring rules, The server programs a distant terminal, located near the patient in such a way that the distant terminal implements an automatism applying the monitoring rules to the medical data provided to the terminal by at least one sensor associated with the patient and/or by a man-machine interface of the distant terminal and/or by a man-machine interface of a networked station and/or by the network.