Sauvage is a French surname. Notable people with the surname include:
Alexis Sauvage (born 1991), French footballer
Catherine Sauvage (1929–1998), French singer and actress
Cécile Sauvage (1883–1927), French poet
Claude Sauvage (1936–2011), French racing cyclist
Cyrille Sauvage (born 1973), French racing driver
David Sauvage, filmmaker and self-described empath
Denis Sauvage (1520–1587), French translator and historian
Élie Sauvage (1814–1871), French playwright and novelist
Etienne de Sauvage (1789–1867), Belgian politician
Fernand Sauvage (c. 1920), Belgian diver
François Clément Sauvage (1814–1872), French geologist and mining engineer
Frédéric Sauvage (1786–1857), French boat builder who carried out early tests of screw-type marine propellers
Henri Sauvage (1873–1932), French architectural designer
Henri Émile Sauvage (1842–1917), French paleontologist and ichthyologist
James Sauvage (born James Savage, 1849–1922), Welsh baritone singer
Jacqueline Sauvage (1947–2020), French murderer
Jean Sauvage (1455–1518), chancellor of Holy Roman Emperor Charles V
Jean-Pierre Sauvage (born 1944), French coordination chemist
Julien Sauvage (born 1985), French professional swimmer
Leo Sauvage, French journalist
Louise Sauvage (born 1973), Australian paralympic wheelchair racer
Marcel Sauvage (1895–1988), French journalist and writer
Marguerite Sauvage, French illustrator and scriptwriter
Pascal Sauvage, main antagonist of Johnny English (2001)
Paul Sauvage (footballer) (1939–2019), French footballer
Paul Sauvage (aviator) (1897–1917), French World War I flying ace
Piat Joseph Sauvage (1744–1818), Belgian painter
Pierre Sauvage (born c. 1948)
Thomas Sauvage (1794–1877), French dramatist and theatre director