A method for manufacturing a fixing sleeve , comprising: performing a spinning process by fitting a mandrel on an inner circumferential surface of a cup-shaped tubular body which is made of metal and pressing a roller or rollers against an outer circumferential surface of the cup-shaped tubular body , thereby elongating the cup-shaped tubular body in an axial direction and reducing a wall thickness of the cup-shaped tubular body ; cutting out both ends of the cup-shaped tubular body after the spinning process to form a fixing sleeve of a tubular shape; and performing a polishing process on the inner circumferential surface of the fixing sleeve into a smooth surface, characterized in that the polishing process comprises: connecting one end of the fixing sleeve to a polishing material conveying pipe , via a fixing sleeve mounting section , into which an abrasive material is supplied and the other end of the fixing sleeve to an air suction pipe via another fixing sleeve mounting section , and performing a suction from a side of the air suction pipe so as to cause the polishing material to be jetted along with an air from a side of the polishing material conveying pipe and to flow through the inner circumferential surface of the fixing sleeve over an entire axial length of the fixing sleeve , due to which an entire inner circumferential surface of the fixing sleeve is uniformly polished to obtain a smooth surface; a roller mark formed during the spinning process is removed by pressing a burnishing tool against the outer circumferential surface of the cup-shaped tubular body at the same time as pressing the roller or rollers against the outer circumferential surface of the cup-shaped tubular body ; and the burnishing tool moves in the axial direction of the cup-shaped tubular body . performing a spinning process by fitting a mandrel on an inner circumferential surface of a cup-shaped tubular body which is made of metal and pressing a roller or rollers against an outer circumferential surface of the cup-shaped tubular body , thereby elongating the cup-shaped tubular body in an axial direction and reducing a wall thickness of the cup-shaped tubular body ; cutting out both ends of the cup-shaped tubular body after the spinning process to form a fixing sleeve of a tubular shape; and performing a polishing process on the inner circumferential surface of the fixing sleeve into a smooth surface, connecting one end of the fixing sleeve to a polishing material conveying pipe , via a fixing sleeve mounting section , into which an abrasive material is supplied and the other end of the fixing sleeve to an air suction pipe via another fixing sleeve mounting section , and performing a suction from a side of the air suction pipe so as to cause the polishing material to be jetted along with an air from a side of the polishing material conveying pipe and to flow through the inner circumferential surface of the fixing sleeve over an entire axial length of the fixing sleeve , due to which an entire inner circumferential surface of the fixing sleeve is uniformly polished to obtain a smooth surface; a roller mark formed during the spinning process is removed by pressing a burnishing tool against the outer circumferential surface of the cup-shaped tubular body at the same time as pressing the roller or rollers against the outer circumferential surface of the cup-shaped tubular body ; and the burnishing tool moves in the axial direction of the cup-shaped tubular body . <EOS>