He was awarded the Gunnerus Medal in 1930, and in 1943 a "Headmaster Qvigstad's Gold Medal" was inaugurated by Tromsø Museum. He was decorated as a Commander with Star of the Royal Norwegian Order of St. Olav in 1912, and as a Commander of the Order of the White Rose of Finland.
He received recognition for his achievements in 1930 with the Gunnerus Medal, and in 1943, a "Headmaster Qvigstad's Gold Medal" was established by Tromsø Museum to honor him. He was decorated as a Commander of the Royal Norwegian Order of St. Olav in 1912, and as a Commander of the Order of the White Rose of Finland.