Cochet is a French surname. Notable people with the surname include:
Arnaud Cochet (born 1959), French senior civil servant Christophe Cochet (attested after 1606 - death 1634), French sculptor Gérard Cochet (1888–1969), French illustrator Gustavo Cochet (1894–1979), Argentine painter, engraver and writer Henri Cochet (1901–1987), French tennis player Jean-Laurent Cochet (1935–2020), French theater director, actor and acting coach Jonathan Cochet (born 1977), French racing driver Philippe Cochet (born 1961), French politician Robert Cochet (1903–1988), French artist medal engraver Vladimir Cochet, Swiss musician Yves Cochet (born 1946), French politician