Abstract: A round bale press comprises a unit forming a winding chamber having a product supply opening, a wrapping material supply unit for supplying a material for wrapping a finished bale, a wrapping material pulling unit for pulling the wrapping material of a predetermined length from the wrapping material supply unit and supplying the wrapping material into the winding chamber for wrapping the finished bale, a width stretching unit for stretching the pulled wrapping material before entering the winding chamber. The width stretching unit is arranged transversely to the longitudinal axis of the press and has a width corresponding at least to a width of a bale to be wrapped. The width stretching unit includes a guiding surface operable for changing the wrapping material from a straight position to a non-straight, roof-shaped position.