 NY 332 was assigned as part of the 1930 renumbering of state highways in New York, originally beginning at West Avenue (then part of US 20 and NY 5) in Canandaigua and ending at NY 96 in Farmington.The route was extended north to meet the New York State Thruway in 1954 and extended south to its current terminus following the completion of the Western Bypass around Canandaigua in the late 1970s and early 1980s.Although NY 332 begins at the intersection of South Main Street and US 20 and NY 5 in Canandaigua, state maintenance of Main Street begins south of Routes 5 and 20 at Lakeshore Drive, where Main Street becomes NY 942T, an unsigned reference route.