Cutting operation is an essential method of forming and designing shapes. We implemented a virtual cutting work space, in which we can cut virtual objects of various shapes through direct-operation interface. The object in the work space was defined as a closed surface that consists of triangle patches. The cutting operation was performed as boolean operations between an object and a cutting surface. Also, we employed a force feedback device and liquid crystal shutter glasses to represent force sensation while cutting and to provide stereo-scopic view on the work space.