Gunnar Kvaran (born 16 January 1944) is an Icelandic cellist.
Gunnar was born in the town of Seltjarnarnes near Reykjavík, the son of actor Ævar Kvaran and the great-grandson of Einar Hjörleifsson Kvaran.
He began studying the cello with Einar Vigfússon at the age of twelve and went to Copenhagen in 1964 to study with the famous Danish-Icelandic cellist Erling Blöndal Bengtsson at the Royal Danish Academy of Music.
In 1988, he established the Reykjavík Trio with Halldór Haraldsson and Guðný Guðmundsdóttir.
[1] For 25 years, Gunnar Kvaran taught at the Reykjavík College of Music, where he headed the department of string instruments.