This machines is particularly suitable for honing automobile engine cylinders, tractor cylinder sleeves and diesel engine cylinder sleeves. Having stationary working accura- cy, it is the requisite for repairing automobiles and tractors. The machine is of radial construction. The honing head is mounted on a honing box which is connected with rear box by two horizontal columns. The gear box moves around a vertical column, so the honing spindle can be moved to many position within a limited range. All these make it possible to centre the working hole without moving the workpiece. The rotating and reciprocating movements of spindle are operated hydraulically and satisfactory speed can be easily obtained.