Method for establishment of a communication, through a computer network of the type of the Internet, between two information transmission devices

According to the method of establishing a communication, through the Internet (3) between two devices (1, 2) of the Internet (3) and the PSTN telephone network (4), - one of the two calling devices (1) calls the other (2) on the PSTN to invite communication by giving references (IP31, XX, YY) of a message accessible on the Internet (3), - the calling (1) connects to the Internet (3) receives an address (IP1) and integrates the message, and - called (2) connects to the Internet (3) accesses the message gets address (IP1) of the calling (1) and establishes communication.