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.