A process for producing a tapered multifilament yarn comprising feeding a drawable filament to a drawing apparatus and changing the take-over speed relative to the feed speed of the filament in order to change the thickness of the filament in a longitudinal direction, characterized by making the take-over speed slower than the feed speed under heating in a part of the filament in the longitudinal direction and thereby shrinking and thickening the part of the filament. According to the process, the ratio of the thickness of the thickest part of the tapered multifilament yarn to the thickness of the thinnest part thereof can be easily increased.