Claude Baux (born 27 August 1945) is a French retired slalom canoeist who competed in the 1960s and 1970s. He won a bronze medal in the C-1 team event at the 1969 ICF Canoe Slalom World Championships in Bourg St.-Maurice. Baux also finished 15th in the C-1 event at the 1972 Summer Olympics in Munich.