A Process for monitoring the quality of service of the communication over an Internet or intranet network, said process being executed in a end-user terminal and comprising the steps of: establishing a session between a first end-user terminal and a service or a second end-user terminal via a signaling plane; characterized in that it further comprises the steps of: monitoring the quality of service of the communication during said session; using said signaling plane for transmitting information representative of said quality of service during said session, whereby all parties share the same information. The process is well adapted to the known SIP protocol and allow the end-users of the network to share the same QoS information relating to the communication.