Centrifugal machines are normally used in petroleum,petrochemical and mining industry.Vibra- tion occurs when the centrifugal machine runs so that the service life will be shortened.In order to run the centrifugal machine smoothly,critical rotating speed must be calculated in the design of centrifugal ma- chine to avoid running under the work eondition at the critical rotate speed.With the study of the formula of critical rotate speed of centrifugal machine,two results about the critical rotating speed of cantilever sin- gle-rotor centrifugal machine were discovered: there is one type of critical rotating speed in centrifugal ma- chine with narrow rotor; there are two types of critical rotating speed in centrifugal machine with wide ro- tor.