Abstract: A device and a method for wrapping a bale of hay with flexible sheet material. The device which preferably is in the form of a unit arranged to be hitched to a tractor supports a roll of the material and it has a pair of bale holding discs rotationally carried by swing arms mounted on the two sides of the device for rocking movement about vertical axes between an open and a closed position. With the discs in open position, the device is backed against a bale on the ground; the swing arms with their discs are rocked into closed position so that the two ends of the bale are engaged by the discs; then the discs and the bale between them are rotated together with a holding element urging the sheet material against the bale, by more than one revolution, with the bale slightly off the ground so that upon release of the bale the overlapping leading and trailing portions of the wrapped material are held in position by the weight of the bale; and the material is then cut.