The present invention provides a method of power control for a plurality of secondary users (SUs), or unlicensed users, in a cognitive radio network having a plurality of primary users (PUs), or licensed users. The method comprises determining an optimal power level for each of the SUs such that a total throughput of all the SUs is maximized while satisfying an individual throughput requirement of each SU and an interference limit constraint of the PUs. In particular, a case having two SUs is considered.