Rolf Thorsteinson Andvord (15 December 1847 – 26 October 1906) was a Norwegian ship-owner.

He was born in Lyngdal as a son of vicar Thorstein Rolfsen Andvord (1810–1870) and his wife Sofie Barbara Margrethe Feyer (1824–1869).

He was a driving force in converting to steam ships, bought the vessel SS Memento which became well known along the coast in his day.

SS Memento sailed on Antwerp, and Andvord also broke the Wilson Line's monopoly on steamship traffic between Norway and Newcastle.

[1] Adrien de Gerlache named Andvord Bay (Graham Land, Antarctica) in recognition of his assistance in the purchase of the Belgica for the Belgian Antarctic Expedition.