Jakob Frímann Magnússon (born 4 May 1953) is a Danish-born Icelandic composer, keyboard player, film director and producer.

[1] He has also directed, produced and starred in several films, and released several solo albums with a number of famous jazz musicians from the United States.

Since 2002, aside from playing in Stuðmenn and recording new albums, Jakob Frímann is the co-owner and manager of the advertisement agency Bankastræti in Reykjavík.

During his time in the U.S. he started his own band with Carlos Rios (guitar), Steve Anderson (bass; www.stephenranderson.com) and David Logeman (drums) and released several albums with jazz-influenced music.

He has also been a studio musician for a number of American and Icelandic artists, and is known for his distinctive and tasteful keyboard solos and brilliant treatment of the Rhodes piano and various synthesizers.