A bale wrapper apparatus (10) which comprises: a table for supporting an agricultural bale (20) with its longitudinal axis X extending substantially parallel to the ground and forming a first axis (13) about which the bale (20) is rotatable during a wrapping cycle; a holder (11) for a dispenser reel (12) of stretch film from which a strip of film (f) can be withdrawn in order to form successive overlapping windings (a, b) which wrap the outer surface and the end faces of the bale during the wrapping cycle; and means for applying relative rotation between the table and the holder (11) about a second axis (14) extending substantially perpendicular to the longitudinal axis X of the bale (20): in which the operation of the apparatus is controllable so that the relative speeds of rotation about the first and second axes (13, 14) can be varied during each wrapping cycle to obtain required variation in winding overlap coverage of the bale (20).