The 1979 Mercedes Cup, was a men's tennis tournament played on outdoor clay courts and held in Stuttgart, West Germany that was part of the 1979 Grand Prix circuit. It was the second edition of the tournament and was held from 16 July until 22 July 1979. Fourth-seeded Tomáš Šmíd won the singles title.
Tomáš Šmíd defeated Ulrich Pinner, 6–4, 6–0, 6–2
Frew McMillan / Colin Dowdeswell defeated 
Wojciech Fibak / Pavel Složil, 6–4, 6–2, 2–6, 6–4