A method and apparatus for the automated assembly of sleeves onto the body of the garment. In the present invention, the garment body (120) is placed on a first fixture (30) resembling a mannequin. The sleeves (130) are placed inside facing out on a second conical fixture (94). Automatically, each sleeve (130) is positioned and sewn onto the garment body (120) and the finished garment is removed from the first fixture (30). Through the use of sensors (106), each sleeve (130) is precisely and consistently sewn to the garment body (120). The result is a high quality garment produced at a lower cost.