PURPOSE: To make it possible to expect to have a precise right angle between a work reference surface set on a table and a machined hole surface to be hone, of a work, by providing such an arrangement that the work is rotated in the direction opposite to the rotational direction of a honing head.

CONSTITUTION: In a honing machine, a table rotating shaft 1 rotates about the axis A of the rotating center of a honing head 2 and the rotating center B of the shaft aligned with the axis A, right below the honing head 2. Further, a work rotating/working table 3 is secured to the top of the shaft 1 at a right angle to the rotating center B of the shaft 1. Further, a work C is set on the surface D of the work rotating/working table with its reference surface E being contacted therewith. Then, in the case of that a machined hole is honed by inserting a honing grind stone thereinto, the center of the honing grind stone is held by itself while the machined hole surface 5 is honed, thereby the accuracy of right angle with respect to the reference surface E for the surface 5 of the work C may be enhanced.