An apparatus for transverse sealing of a packaging tube, filled with products, in order to form bag packages, has a delivery conveyor for delivering the packaging tube, a removal conveyor for carrying the bag packages away and a transverse sealing unit engaging an interstice between these two conveyors. Means is provided for supporting the bag packages at least in part at the transition through this interstice. This means for supporting the bag packages is a supporting base, which reaches beneath the bag packages from two diametrically opposed sides and both supports the bag packages and transports them onward.