A torque wrench stand having an arcuate or curved surface for supporting the stand is described. The stand includes a generally semi-circular main body having a hub opening through which a torque wrench socket extension passes allowing the stand to be carried by the wrench from one wheel to the next. The hub is positioned off-set from the center of the stand along the straight upper edge of the stand. The stand supports the wrench via the extension held within the hub as the wheel lug nuts are removed. The stand pivots about the hub, thus allowing the arcuate surface of the stand to continuously adjust position as necessary so that the height of the hub from the ground matches the height of the selected lug nut from the ground and the stand easily adapts to the height of any lug nut.