Method for the remote monitoring of a person by another person through smart mobile terminals (A, D) connected via a data network and provided with a geo-localization device, a gyroscope/accelerometer and a dedicated application, said method including the steps of: a) installation on a cloud infrastructure of an articulated set of web services and backend applications connected via said data network to said applications installed on the terminal of the monitoring person and on the terminal of the person to be monitored, said articulated set being able to carry out predefined operations on the basis of environmental variables and of data received from the applications installed on the terminals (A, D) so as to act as an interface between them; b) triggering of an alarm procedure by the application of the person to be monitored upon occurrence of one or more alarm conditions provided in a configuration present on the relevant terminal, through sending of an alarm to said articulated set that depending on said alarm performs a series of programmed operations among which at least a notification to the application of the monitoring person on the relevant terminal; characterized in that it further includes the steps of: a') activation and configuration of the application installed on the terminal of the person to be monitored by the application installed on the terminal of the monitoring person, by sending said configuration from the latter terminal to said articulated set via the data network for storage and subsequent sending of the configuration, again via the data network, to the terminal of the person to be monitored; a") sending to the terminal of the monitoring person, via the data network and said articulated set, by the application of the person to be monitored of a set of information collected by the relevant terminal, said sending being carried out at pre-set intervals and/or at the request by the application of the monitoring person. a) installation on a cloud infrastructure of an articulated set of web services and backend applications connected via said data network to said applications installed on the terminal of the monitoring person and on the terminal of the person to be monitored, said articulated set being able to carry out predefined operations on the basis of environmental variables and of data received from the applications installed on the terminals (A, D) so as to act as an interface between them; b) triggering of an alarm procedure by the application of the person to be monitored upon occurrence of one or more alarm conditions provided in a configuration present on the relevant terminal, through sending of an alarm to said articulated set that depending on said alarm performs a series of programmed operations among which at least a notification to the application of the monitoring person on the relevant terminal; a') activation and configuration of the application installed on the terminal of the person to be monitored by the application installed on the terminal of the monitoring person, by sending said configuration from the latter terminal to said articulated set via the data network for storage and subsequent sending of the configuration, again via the data network, to the terminal of the person to be monitored; a") sending to the terminal of the monitoring person, via the data network and said articulated set, by the application of the person to be monitored of a set of information collected by the relevant terminal, said sending being carried out at pre-set intervals and/or at the request by the application of the monitoring person.