Abstract: A honing tool or device having a generally cylindrical body includes a plurality of axially extending webs to which are attached a like plurality of curved honing blades. A portion of the external surface of each blade remote from the attachment point includes an abrasive coating. The radius of curvature of the portion of the blades including the abrasive coating is nominally the same as the radius of the desired finish diameter of the bore. Resilient dampers are disposed behind the blades in the body to dampen vibrations. An additional plurality of webs may be disposed behind the blades to limit their inward translation. A double or tandem honing device includes a pair of the just described honing tools which are arranged in axially spaced apart relationship on a common shaft.