From 1920, he was a member of the Learned Estonian Society (Gelehrte Estnische Gesellschaft), Estonia's oldest scholarly organization, and from 1928 to 1929 he was the president of the society. In 1930 he, like his father Nikolai Anderson before him, was made an honorary member of the society. He also held honorary membership of the American Folklore Society and the . In 1936 Anderson became a corresponding member of the Prussian Academy of Sciences. In addition to this he was a corresponding member of the Royal Gustavus Adolphus Academy, the Finnish Literature Society, the Finno-Ugrian Society and the Warsaw Scientific Society.