A process and apparatus for packaging packs (2) of flat objects (3) piled one on top of another, using a package (1) formed by two cardboard half-blanks (4), in which athe packs and the half-blanks (4) are supplied to a packaging station (7) in which the half-blanks (4) are arranged on two opposite flanks of a pack. Four operative units (10), each acting on a corner of a pack, are provided with gripping organs (11) which are moved in directions according to diagonals of the pack (2) of objects (3), nearing and distancing from the corners of the pack (2). The operative units (10) fold the half-blanks (4) so as to envelop the flanks of the pack (2), as well as a peripheral zone of a topmost and bottom-most face of the pack (2). The invention is particularly applicable to packs made of ceramic tiles stacked one on top of another.