Route 361 is a state highway in the northwestern section of the U.S. state of Connecticut, running from the town center of Sharon to the New York state line in Salisbury. The route was a former alignment of Route 4 from what is now Route 41 to the New York state line, where it continued as New York State Route 361. Route 361 in Connecticut was assigned when Route 4 was truncated in 1966. In 1980, New York decommissioned the continuation of Route 361 and reassigned it as Dutchess County Route 62.

Sharon is a town in Litchfield County, Connecticut, United States, in the northwest corner of the state. At the time of the 2020 census, the town had a total population of 2,680. The town is part of the Northwest Hills Planning Region. The ZIP code for Sharon is 06069. The urban center of the town is the Sharon census-designated place, with a population of 729 at the 2010 census.