She was vice-president of the Women's Freedom League, and was for several years associated with the Jewish National Fund and the Palestine Conservatoire of Music at Jerusalem. Cohen was appointed a Commander of the Order of the British Empire (CBE) in 1938. She was made Commander of the Order of the Crown of Belgium in 1947 and received the Order of the White Lion of Czechoslovakia that same year. The Harriet Cohen International Music Award was introduced in her honour in 1951. Also in 1951 she was awarded Officier de l'Académie française. She was made a Cavalier of the Order of the Southern Cross of Brazil in 1954 and was made a Freeman of the City of London in the same year. Also in 1954, she was a recipient in Helsinki of the medal of the Sibelius Academy. She received the Stella Della Solidarietà Italiana in 1955. In 1958 Cohen was awarded the Pro Finlandia Medal of the Order of the Lion of Finland for her services to Finnish music.