Abstract: In a system for exchanging packages on a textile machine such as a rewinder, a creel loader receives empty packages from a creel for transportation to the position of a package supporter, the package supporter is rotated about a vertical axis over 180 degrees to place full packages in a position facing the creel loader, and, after receipt of the full packages, the creel loader travels to a section of the creel in need of package exchange for transfer of the full packages to the creel. Concurrently with this process, full packages from a package stocker is mounted to the package supporter by operation of an assistant device such as a robot for next exchange of packages with the creel loader. Loss in production efficiency otherwise caused by empty travel of the loader is well avoided.