A strapping device, in particular a mobile strapping device, for strapping packaged goods with a wrap-around strap, including a tensioner for applying a strap tension to a loop of a wrapping strap. The tensioner includes a rotationally drivable tensioning wheel and a tensioning rocker that pivots relative to the tensioning wheel and cooperates with the tensioning wheel, wherein a tensioning plate is disposed at the tensioning rocker for applying a wrapping strap, and a wherein a distance between the tensioning plate and the tensioning wheel can be varied for applying a tension on the strap, said tensioner also comprising a connector, in particular a welding connector such as a friction welder, for producing a connection in two areas of the loop of the wrapping strap located one on top of the other, is intended to exhibit largely consistent tensioning characteristics even with different strap thicknesses.