Cut Off is a census-designated place on the Bayou Lafourche in Lafourche Parish, Louisiana, United States. The population was 5,635 at the 2000 census. It is part of the Houma–Bayou Cane–Thibodaux Metropolitan Statistical Area. Cut Off's ZIP code is 70345, the area code is 985 and local telephone prefixes are 325, 632 and 693.