Elmer Bäck (born October 18, 1981) is a Finnish actor who is best known for starring in the 2015 Peter Greenaway film Eisenstein in Guanajuato. He has been in theatrical productions, in movies and on television in Finland, and is part of the theatre group Nya Rampen, based in Berlin, Germany.

Bäck is a Swedish-speaking Finn. He married Brenda, a Mexican costume designer, in 2017. They had met during the production of Eisenstein in Guanajuato.