Monroe is an unincorporated community in Amherst County, Virginia, United States. Monroe is located along U.S. Route 29 6.1 miles north of Lynchburg.Speed the Plough, a farm located in Monroe, was added to the National Register of Historic Places in 2007.The climate in this area is characterized by hot, humid summers and generally mild to cool winters. According to the Köppen Climate Classification system, Monroe has a humid subtropical climate, abbreviated "Cfa" on climate maps.