Franz Malmsten (November 6, 1905 Narva - February 6, 1967 Tallinn) played in the Narva Theater from 1925 to 1937 and was an actor at the Drama Theater from 1937 to 1967. He has also acted in films and plays (eg "Sinel", 1952).

He was married to Eva Meil from 1940, their son was the actor Rein Malmsten, their grandson is the actor Mait Malmsten. His brother was Hugo Malmsten and sister Lydia Bock.