A wind turbine includes a nacelle with any manner of associated power generation equipment. The nacelle is mounted atop a tower having a base end configured for support on a ground level foundation. A tower support system provides support to the tower and includes an axially extending circumferential sleeve mounted around the tower at a location between the base end and the nacelle. A plurality of support legs are disposed around the sleeve, with each support leg having a first end rigidly affixed to the sleeve and an opposite foot end configured for mounting to a ground level footing. The support legs extend from the sleeve with a length and at an acute extension angle relative to a longitudinal axis of the tower so as to provide a designed degree of vertical and lateral support around the circumference of the tower.