A method and apparatus are disclosed for forming a tubular yarn carrier of the type adapted to have a yarn wound thereon to form a yarn package, and which includes an inturned annular end portion which is adapted to support the carrier on an internal spindle of a winding machine. The method of forming the inturned annular end portion includes inwardly turning one end of a tubular body member and so as to cause the end to be inwardly turned about an arc of about 180.degree., and while concurrently guiding the inwardly turned end radially outwardly into contact with the inside wall surface of the tubular member. The method results in the formation of a frusto-conical end portion which essentially locks against the inside wall surface of the carrier and thus prevents the inturned end portion from opening up during use.