In a process for pulling stockings off a stretcher, the stockings are stretched on two essentially U-shaped frames next to one another. The stockings are pulled off the frames means of pull-off belts placed laterally against the narrow side of the frame. While the stockings are being pulled off the stretcher, folding of the stockings is already being initiated, ensuring correct position of the fold and ruling out later changes in shape. Preferable the folding apparatus has a package liner feeder, so that the stockings are folded around a package liner under tension. This completely rules out later shrinkage of the stockings.