Printing unit 10 includes a support structure 20 and a plate cylinder 12,12a which is supported by a support structure 20 for rotation about a first axis x1, parallel to the first axis x1 second an intermediate cylinder 14,14a which is supported for rotation to a shaft x2 mainly of, supported for rotation about the third axis x3 parallel to the first axis x1 and the second axis x2 and a impression cylinder 16 that it is. Transfer cylinder 14,14a or impression cylinder 16, in order to tilt about a stationary tilt axis x4 parallel to the first axis x1, the second axis x2, and the third axis x3, supported by the support structure 20 the respective supporting members 26,28,28 'which are respectively carried by the tilt lever 22 which is, is supported at its axially opposite end portions, whereby the second axis x2 or third axis x3 are each is movable along a circular path having a fixed center on the inclined axis x4. Each impression cylinder 16 or the transfer cylinder 14, 14a, by the support members 32 which can slide along the respective linear guides 36 which are carried by a support structure 20 is supported at its axially opposite end portions, it the third axis x3 or second axis x2 of each, is movable along a straight path. Support members 26,28,28 'of the intermediate cylinders 14, 14a; each 32, each linear including a first element 40 which is movable and the second element 42 relative to one another along the direction of the relative movement y the actuating device 38, each of the support members 32 of the impression cylinder 16; is connected to 26,28,28 ', the first element 40, about a second axis x2, each support of the intermediate cylinder 14,14a members 26,28,28 '; 32 is hinged to the second element 42 about the third axis x3, each of the support members 32 of the impression cylinder 16; 26,28,28' hinges It is installed in.