Abstract: A polygon headed wrench comprising a shank, a neck and a head, the head being provided with: flat surfaces extending in parallel to a central axis of the wrench; vertically aligned first tapered surfaces and vertically aligned second tapered surfaces, the first tapered surfaces and the second tapered surfaces gradually tapering the wrench head from its middle to extend in continuation to each flat surface toward the wrench central axis vertically and symmetrically with respect to an axis extending perpendicularly to the wrench central axis; and edge surfaces which extend from and in the same number as of the vertically lower second tapered surfaces of vertically aligned second tapered surfaces and converge into the wrench central axis, and a neck comprising third tapered surfaces which extend from and in the same number as the upper second tapered surfaces toward the central axis of the wrench and toward the shank.