A temperature control assembly controls the temperature of functional parts of a printing machine. The temperature control assembly comprises a plurality of assembly-side sub-circuits, the temperature of which is to be individually controlled, each sub-circuit having a temperature-control fluid outlet and a temperature-control fluid inlet, on each of which, in order to form a respective temperature control circuit, one or more functional parts can be connected as loads of a temperature-controlling external temperature control sub-circuit by the use of releasable connections, and which, on the feed side of the temperature control thereof, are or can be thermally and fluidically coupled, via respective removal points, to a common feed line, and on the return side, via each return point, to a common fluid return. The temperature control assembly is configured as a structurally independent assembly comprising the assembly-side temperature control circuits thereof and the feed and return, and a temperature control device that controls the temperature of the temperature control fluid supplied to the feed, one of on and in a single-component or in a multi-component frame of the temperature control assembly. The temperature control device is provided in a fluid stream between the last return point and the first removal point. A line section of the feed line, which extends at least over the length from the first removal point to the last downward removal point of the assembly-side temperature control circuit, has an average line cross-section which is one of greater than a multiple of the average line cross-section of a supply line section arranged in the feed downstream of the temperature control device and arranged upstream of the line section, and which is greater than a multiple of a line a cross-section upstream of each of the largest return point.