To provide a cutting device and a cutting method capable of easily fixing and cutting a cylindrical soft member, cutting it with no difficulty even when there are irregularities on its outside surface, cutting it with no abrasion of a blade even when there is a hard member inside of it and effectively using liquid in the case when there is liquid inside of it.

This cutting device is furnished with a fixing device main body having a function to place and rotate a cutting object on it and placing the cutting object on it by matching the center of the object with the center of rotation, more than two pieces of fixing arms set on this fixing device main body, a contact detection sensor provided on the fixing arm and to detect contact with the fixing arm and a movable cutting machine provided independently of the fixing device main body.