Abstract: A method of controlling power in a transmission link between a central station and a terminal in a point to multi-point communication network and system for carrying out the method, particularly suitable for implementation in satellite access networks or terrestrial point to multi-point access networks. A transmitter transmits a plurality of reference signals (4) to a plurality of receivers (2); each receiver (2) measures the respective quality of the signals so as to determine a reference signal (4) corresponding to the receiver (2); each receiver (2) indicates to the transmitter (1) the reference signal (4) corresponding thereto; and if required, the transmitter (1) adjusts the power level of transmission of the traffic data (3).