Rune Urban Gustafsson (25 August 1933 – 15 June 2012) was a Swedish jazz guitarist and composer.

He played in the Arne Domnérus duo (Dialog, 1972) and his orchestras, with Jan Johansson, Georg Riedel, Cornelis Vreeswijk.

On a Clear Day (Sonet, SLP 2581, 1976) included Red Mitchell and drummer Ed Thigpen.

A duo performance with Niels-Henning Ørsted Pedersen at Vossajazz 1980, concluded on the album Just The Way You Are on the Sonet, recorded half a year after this first meeting.

As a composer he was known for the soundtrack of Swedish films The Man Who Quit Smoking (1972 ), Release the Prisoners to Spring (1975), and Sunday's Children (1992).