The present invention relates to nucleic acids of the general formula (I): (Nu G l X m G n N v)a and derivatives thereof asan immunostimulating agent/adjuvant and to compositions containing same,optionally comprising an additional adjuvant. Thepresent invention furthermore relates to a pharmaceutical composition or to avaccine, each containing nucleic acids of formula (I)above and/or derivatives thereof as an immunostimulating agent, and optionallyat least one additional pharmaceutically activecomponent, e.g. an antigenic agent. The present invention relates likewise tothe use of the pharmaceutical composition or of thevaccine for the treatment of cancer diseases, infectious diseases, allergiesand autoimmune diseases etc. Likewise, the presentinvention includes the use of nucleic acids of the general formula (I): (N u Gl X m G n N v)a and/or derivatives thereof for the preparationof a pharmaceutical composition for the treatment of such diseases.