A module for temporarily storing a succession of flat printed products includes a first carrier element train on a first transport element assigned to a first side wall, and a second carrier element train on a second transport element assigned to a second side wall located opposite the first side wall. The transport elements are movable relative to the side walls and correlated with one another, for a form-locking, at least partial support of a printing product loaded into the module. Support for an underside of the loaded printing product is provided by upper sides of first and second carrier elements. Third and fourth carrier elements have respective undersides making form-locking contact with the upper side of the loaded printed product for holding down the underside of the loaded printed product on the upper sides of the first and second carrier elements. A further processing device includes the module.