To facilitate maintenance work for perfecting unit stacked like a tower.

In the tower-type offset rotary press wherein the offset printing units 2a to 2h of the double-faced printing type are vertically stacked in tiers, partitioning frames 13a, 13b, 14a, 14b are provided at every prescribed height to divide the printing units into a plurality of stages in the direction of height, fixing frames 10a, 10b are provided at each stage, lateral moving frames 15a, 15b, 16a, 16b movable in the approaching/receding directions relative to the fixing frame are provided on both sides of the lateral directions of respective fixing frames, lateral blanket cylinders 3a, 3b of several perfecting unit of a plurality of the perfecting units and lateral plate cylinders 4a, 4b are supported by the fixing frames of each stage, ink units 6a, 6b corresponding to each blanket supported by the fixing plate are supported by the moving frames, and the lateral moving frames are connected to the fixing frames in a freely engaging/disengaging manner.