Gunnar Felixson (born 14 March 1940) is an Icelandic former footballer.
He was part of the Iceland national football team between 1961 and 1966.
On club level he played for Knattspyrnufélag Reykjavíkur from 1959 to 1970, winning four national championships and six Cup titles.
He participated in KR's first European matches and scored a goal against Liverpool F.C.
In 1963, all three brothers played together for Iceland in two games against England.