Klaveness is a surname. Notable people with the surname include:
Anton Fredrik Klaveness (1874–1958), Norwegian ship-owner Anton Fredrik Klaveness (1903–1981), Norwegian equestrian and ship-owner Dag Klaveness (1913–1986), Norwegian ship-owner Dag Klaveness (limnologist) (1945–2020), Norwegian limnologist Henrik Klaveness (1826–1888), Norwegian ship-owner and politician Kristine Klaveness (born 1976), Norwegian rower Lise Klaveness (born 1981), Norwegian lawyer and footballer
See also A. F. Klaveness & Co, Norwegian former shipping company formed by a certain branch of the Klaveness family Kapp Klaveness, headland Torvald Klaveness Group, Norwegian shipping company formed by another branch of the Klaveness family