Method of data transmission in a multi-way communication

In the context of data transmission for multi-way communication from a source terminal equipment to a destination terminal equipment, the method: establishes, on at least one multi-way communication path, a plurality of connections with the destination terminal equipment; for each path on which a plurality of said connections has been established, select to render active at least one connection among the plurality of established connections, other established connections being set aside; distribute data between the selected connections, called active connections, according to at least one predefined allocation rule and transmit the distributed data. Upon detecting (501) a transmission incident via an active connection on a path on which a plurality of said connections has been established, the process closes (502) said active connection, and makes it active (503) a connection that had been setting aside in said path.