A gate closer used to automatically close an existing fence gate upon opening in either direction includes a bracket attaches to and extending upwardly from a hinge side of the gate and over any existing fence post that supports the fixed side of the hinge. The outer end of the bracket provides an attachment to a cable, which is in turn connected to a stationary pulley and tension spring mounted to a top frame portion of the fence. The opposite end of the spring is connected to an adjustment rod used to adjust tension force of the spring. The cable provides a constant force on the bracket, which forces the bracket and attached gate to the neutral or closed position. The apparatus works regardless of which direction the gate is opened as it come to rest in the closed position.