Burke Mountain is a mountain located in the Northeast Kingdom of Vermont. The bulk of the mountain is in Burke and Kirby, Caledonia County, but its southeast side is in Essex County. It is flanked to the east and southeast by Umpire Mountain and Kirby Mountain, respectively. Burke Mountain stands within the watershed of the Passumpsic River. The northeast and northwest sides of Burke Mountain drain into Dish Mill Brook, thence into the East Branch of the Passumpsic River.