New York State Route 361 (NY 361) was a state highway located in Dutchess County, New York, in the United States. The southern terminus of the route was at the Connecticut state line, where it continued to Sharon, Connecticut, as Route 361. The northern terminus was at U.S. Route 44 (US 44) in Millerton. NY 361 was designated in the mid-1930s and removed from the state highway system and replaced with County Route 62 (CR 62) in 1980 as part of a large-scale highway maintenance swap between the New York State Department of Transportation and the Dutchess County highway department.