An adapter for a honing mandrel for finishing the interior surfaces of bores using a honing mandrel having an abrasive member positioned in an opening therein, a wedge member for radial adjustment of the abrasive member during a honing operation to maintain the abrasive member engaged with the bore being honed, the improvements comprising an adapter having means for receiving and supporting the honing mandrel, the adapter including a wedge engaging member adjustable thereon to engage the wedge member to permit longitudinal movement thereof in the mandrel but to prevent radial movement thereof, the adapter also including a pair of angularly related mandrel engaging and locating surfaces against which the mandrel is positioned during installation on the adapter, a threaded member adjustable in the adapter to maintain the mandrel against said locating surfaces, an elongated member having one end attached to said adapter and on an opposite end, said elongated member being biased under spring tension into engagement with the abrasive member on the mandrel to maintain the abrasive member under longitudinal and radial spring tension and to maintain contact between the wedge member and the abrasive member even when the wedge member is being retracted, and a radially extending spring member mounted on the adapter having an inner end portion anchored to the adapter and an opposite outer end portion engageable with the one end of the elongated member.
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