An apparatus for producing wrapped bales comprises first and second wrapping material dispenser means for dispensing wrapping material on the bales. It also comprises a wrapping means for circulating the first and second wrapping material dispenser means in a first plane of rotation around said bale for wrapping said web of wrapping material around said bale. The apparatus is further configured to emerge the first wrapping material from the first wrapping material dispenser means and the second wrapping material from the second wrapping material dispenser means around the bale at least in two different areas so that the properties of the final wrapping of at least one of said first and/or second wrapping material provided onto the bale differs substantially at least in the second area from the properties of the final wrapping of at least one of said first and/or second wrapping material in said first area in order to make the bale wrapping stronger in said second area.”