A conducting composite material is composed of a kneaded and compressed mix. The mix includes (a) from 40 to 90% by volume of a flake graphite powder comprising a flake graphite type formed from graphite particle agglomerates bonded to each other and superposed such that their principal planes are parallel to each other, these agglomerates having a planar anisotropy with side dimensions between 10 .mu.m and 1 mm and between 5 and 50 .mu.m thick, (b) from 0 to 25% by volume of conducting fibres, and (c) from 10 to 40% by volume of an organic binder. This material can be used for making electrodes for fuel cells.