A method for conveying printing formes when changing printing formes on a printing machine with a printing tower comprising a plurality of printing couples one above the other, which printing tower comprises one above the other a plurality of first printing couples on a machine plane assigned for access and a plurality of second printing couples vertically spaced from the first printing couples, wherein - a storage device (17.2) assigned to the second printing couples for the infeed of printing formes is moved by a vertical movement by means of a transport device into a loading position (P17.2A) which can be reached from the machine plane assigned to the first printing couple(s), - the vertically movable storage device (17.2) being in a loading position (P17.2A) and assigned to the second printing couples is provided with a plurality of printing formes next to each other, from an operating space of the printing tower which is located, as viewed in a radial direction from printing couple cylinders (03; 12) of the printing tower, adjacent to the side of the printing tower, as viewed in a longitudinal direction of a forme cylinder of the printing couple(s) assigned to the relevant storage device (17.2), - before, after or overlapping in time with the loading of the storage device (17.2) assigned to the second printing couples, another storage device (17.1), assigned to the first printing couples of the same printing tower for the infeed of printing formes, is provided with a plurality of printing formes from the operating space of the printing tower, - and the storage device (17.2) assigned to the second printing couples and loaded with new printing formes is conveyed, at a time when the loading of the vertically movable storage device (17.2) with a plurality of printing formes for pending production is completed, by a transport device from the loading position (P17.2A) to an advanced position (P17.2B) assigned to the second printing couples with regard to the infeed of printing formes, such that the printing formes to be transported, at least in the advanced position (P17.2B) of the storage device (17.2) which is at the end of their conveying path, are already on the forme cylinder in an alignment and/or position adapted to the lateral register with respect to the destination, considered in an axial direction of the forme cylinder to be supplied. - a storage device (17.2) assigned to the second printing couples for the infeed of printing formes is moved by a vertical movement by means of a transport device into a loading position (P17.2A) which can be reached from the machine plane assigned to the first printing couple(s), - the vertically movable storage device (17.2) being in a loading position (P17.2A) and assigned to the second printing couples is provided with a plurality of printing formes next to each other, from an operating space of the printing tower which is located, as viewed in a radial direction from printing couple cylinders (03; 12) of the printing tower, adjacent to the side of the printing tower, as viewed in a longitudinal direction of a forme cylinder of the printing couple(s) assigned to the relevant storage device (17.2), - before, after or overlapping in time with the loading of the storage device (17.2) assigned to the second printing couples, another storage device (17.1), assigned to the first printing couples of the same printing tower for the infeed of printing formes, is provided with a plurality of printing formes from the operating space of the printing tower, - and the storage device (17.2) assigned to the second printing couples and loaded with new printing formes is conveyed, at a time when the loading of the vertically movable storage device (17.2) with a plurality of printing formes for pending production is completed, by a transport device from the loading position (P17.2A) to an advanced position (P17.2B) assigned to the second printing couples with regard to the infeed of printing formes, such that the printing formes to be transported, at least in the advanced position (P17.2B) of the storage device (17.2) which is at the end of their conveying path, are already on the forme cylinder in an alignment and/or position adapted to the lateral register with respect to the destination, considered in an axial direction of the forme cylinder to be supplied.