A packaging apparatus (1) for nappies (2) or other soft, flat, folded sanitary articles comprises: packaging arrangement for positioning a plastic film so it is tight against a set (4) of nappies (2); a feeder (6) set up to feed the nappies to the packaging arrangement; at least one comb (10) configured to selectively withdraw groups (8) of nappies from a nappy (2) stacker device (9) and place them on the feeder (6). The packaging arrangement comprises a wrapping machine (3) configured to fold a sheet (5) of the film round the set (4) of nappies (2) and to close it on at least three sides of the set (4) of nappies (2).