Axel Olof Törnudd (December 15, 1874 Tampere – July 19, 1923 Helsinki) was Finnish music teacher and composer. Törnudd studied cello playing and music theory at the Helsinki Orchestra School 1891–94 and the Helsinki College of Music, from which he graduated in 1898. Törnudd worked for a few in Helsinki except for the intervening years 1899–1919 as a music lecturer at the Rauma seminary and in other teaching and in positions of trust until he was appointed first inspector of singing instruction on the school board.

As a composer, Törnudd became known especially for his humorous male choir songs. For his composition also includes one symphony, festive cantata, chamber music, piano works as well as solo songs and folk song arrangements.