The poverty level in European Member States is far too high and the measures taken to remedy this issue were insufficient. The goal of Article 30 of the Revised European Social Charter (RESC) of 1996 is to obligate Member States to organise cohesive social policy concepts to fight poverty and social marginalisation. The European Committee of Social Rights (ECSR) concluded that the situation of some European countries is not in the conformity with the Article 30 of the Charter on the ground that there is no adequate overall and coordinated approach to combating poverty and social exclusion. The Parties which ratified the RESC must undertake measures within the framework of an overall and co-ordinated approach to promote the effective access of persons who live or risk living in situation of social exclusion or poverty, as well as their families, to, in particular, employment, housing, training, education, culture and social and medical assistance. European Member States and European international organisations (Council of Europe and European Union) must adopt the necessary legal, financial and administrative devices of ensuring steady progress towards achieving the goals laid down by the RESC. In his paper, the author presents the level of involvement of the authorities of some Member States of the Council of Europe in an ambitious, difficult and indispensable policy of achieving the above-mentioned task.