OD-Blade slicing has many demands on higher level slicing in regard to slicing efficiency and accuracy. This slicing method, however, is caused to increase straightness, waviness and edge chipping at the slicing groove surface owing to elastic deformation of OD-Blade occurred during slicing, and it is one of the most reason for deterioration of slicing accuracy. This study examines the OD-Blade slicing accuracy caused by the blade elastic deformation due to an asymmetric wear of the grain parts, furthermore, describes the effect of applied vibration to the workpiece in the vibration OD-Blade slicing that can be brought out high efficiency slicing by decreasing the blade elastic deformation. The theoretical consideration on the vibration slicing mechanism divides into 3 processes such as (a) contact process, (b) separate process and (c) access process from the behavior between the OD-Blade and the workpiece, and examines the vibration effect in each vibration process. As the results from this theoretical consideration and analysis on the behavior of the OD-Blade in the vibration slicing, although the blade elastic deformation is caused in the contact process, it is found that self corrective effect from the blade elastic deformation is carried out in the separate and access process. Furthermore, it is clarified that the blade elastic deformation in the vibration slicing decreases as compared with one in the non-vibration slicing.