A system for securely transporting valuables enclosed in a container (1) which responds to attempted tampering by damaging said valuables and is provided with internal control means operating as a limited-mode machine that may comprise at least some of the elements of a series consisting of a user such as a dispatcher, a recipient (10) or an escort (3), a container (1), and a single remote host (4) capable of communicating with the internal control means of said container (1), at least at the time of departure. Said elements are interconnected via a single terminal to form a star network of stations (5, 6) with said station at the centre. The system is characterised in that the station (6) of at least one recipient (10) is not a resident station but a mobile and portable station.