A method for allocating transmission resources to at least one terminal of a set of D2D terminals available for direct communication implemented by a cellular access network having a base station. The base station has knowledge of a statistic relating to the state of the D2D channels. The method includes, for a transmission interval: determination, by the base station, of a subset among different subsets of D2D terminals of the set that statistically minimizes a utility function; determination, by each D2D terminal of subset, of a minimum power and a maximum throughput which minimize its utility metric; and determination, by the base station, of a D2D terminal among the D2D terminals of subset, of which the utility function applied to its minimum power and its maximum throughput is minimal, in order to allocate to the terminal spectral resources for transmission during the transmission interval.