Among the founders were Xosé Lluis Carmona, singer Carlos Rubiera, Dubardu Puente, Pepe Fernández Alonso, Xesús Cañedo Valle and David Rivas (1957).

A lot of its members had been involved in the pro-Asturian language movement Conceyu Bable.

CNA disappeared in 1981, giving birth to a series of new asturianist parties, like the Ensame Nacionalista Astur or the Partíu Asturianista.

The Council was a multi-tendency socialist party, although the majority of the members defended some sort of Workers' self-management.

The party also defined itself as anti-colonial (considering Asturias a semi-colony of Spain), feminist, ecologist and pro-direct democracy.