Alv Gjestvang (born 13 September 1937 in Østre Toten) is a Norwegian former speed skater and Olympic medalist. He received a bronze medal at the 1956 Winter Olympics in Cortina d'Ampezzo, and a silver medal at the 1964 Winter Olympics in Innsbruck.
He represented the speed skating clubs Skreia IL, Oslo IL and Hamar IL through his career.