the CNT-Vignoles (or CNT-f), from the name of the street where is located their main office in Paris. They declare to be no more anarcho-syndicalist but "revolutionnary unionists". Anarchists are minority inside CNT-Vignoles (cf. interview of the National secretary in the external links).
the CNT-AIT. It is the French section of the International Workers Association (IWA). They define themselves as anarchosyndicalist, while they have clear influence from council communism, worker anarchism of the Fédération Ouvriére de la Région Argentine (FORA) and situationism.