A semiconductor module arrangement is provided having a first subassembly, a second subassembly and a third subassembly. The third subassembly has a quantity of adjustment pins which are fixedly connected to one another. The first subassembly has a number N1 of first adjustment openings, and the second subassembly has a number N2 of second adjustment openings. Each of the adjustment pins engages into a different one of the first adjustment openings and/or into one of the second adjustment openings. A corresponding method of producing the semiconductor module arrangement is also provided.