Lapping is a familiar finishing method for plane, cylindrical, conical, and complex surfaces, used to increase their accuracy and quality. In the present work, we consider a new lapping method for the cylindrical parts most often found in roller bearings, piston pairs in fuel pumps, hydraulic systems, and elsewhere. Traditional manual, mechanical, and mechanized techniques may be used in lapping. Two approaches are known to the lapping of cylindrical parts: 1) by a tool whose working surface matches the shape of the machined surface; 2) by plane rotating disks. In both cases, abrasive and diamond pastes and suspensions are employed. The kinematic parameters of lapping are the axial velocity v a of rotation, the linear velocity v re of reciprocating motion, and the radial pressure q . In the present work, we investigate vibrational lapping of cylindrical parts, in which they are transported over a plane vibrating surface covered with abrasive. This method is characterized by the same kinematic parameters v a , v re , and q . We know that transportation in vibrational conveyers is associated with technological operations such as sifting, drying, and classification of the transported particles in terms of various properties [1‐4]. The velocity of the parts in vibrotransportation systems is regulated by changing the vibration conditions and trajectory. This permits the effective use of such systems in automated production lines and in cases where dosed or lightly regulated supply is required. Experimental verification of the proposed lapping method is based on an attachment (Fig. 1) that includes a plane working surface (the lap) and lateral walls ensuring the required displacement of the part in reciprocating motion. The dimensions of the attachment are selected in accordance with the dimensions of the samples to be machined, so as to ensure uniform lapping and transportation. The attachment is mounted in the vibrational area of a UVG 4 × 10 vibrational machine tool. The samples to be machined move relative to the vibrating plane surface under the action of inertial forces. Two types of sample motion may be distinguished