Adapter Sleeves with Cylindrical Bore are used for locating bearings with a tapered bore onto a cylindrical seat as they can be used on smooth or stepped shafts. The Adapter Sleeves are axially slotted sleeve with cylindrical bore, tapered outside surface and male screw thread at small end used with locknut and lock washer for mounting of bearings with tapered bore on cylindrical outside surface of shaft. The Adapter Sleeves are easy to mount and require no additional location on the shaft. The Adapter Sleeves with Cylindrical Bore can be accurately positioned axially and bearing dismounting is facilitated.