Vermont is a state in the New England region of the Northeastern United States. It borders Massachusetts to the south, New Hampshire to the east, New York to the west, and the Canadian province of Quebec to the north. According to the most recent U.S. Census estimates, the state has an estimated population of 648,493, making it the second-least populate…Vermont is a state in the New England region of the Northeastern United States. It borders Massachusetts to the south, New Hampshire to the east, New York to the west, and the Canadian province of Quebec to the north. According to the most recent U.S. Census estimates, the state has an estimated population of 648,493, making it the second-least populated of all U.S. states. It is the nation's sixth smallest state in area. The state's capital of Montpelier is the least populous U.S. state capital. No other U.S. state has a most populous city with fewer residents than Burlington.