Logi Ólafsson (born 14 November 1954) is an Icelandic football coach and former player.

During his coaching career, he has been the manager of both the Icelandic men's and women's national team.

In 1993, following his spell at Víkingur he became the coach of the Iceland women's national football team, but left the following year.

In the following season he would move to manage Norwegian club Lillestrøm alongside Arne Erlandsen.

In 2003, he returned to manage the men's national team, this time in a joint role with Ásgeir Sigurvinsson.