The 1979 Fischer-Grand Prix was a men's tennis tournament played on indoor hard courts at the Wiener Stadthalle in Vienna, Austria that was part of the 1979 Colgate-Palmolive Grand Prix.

It was the fifth edition of the tournament and took place from 22 October until 28 October 1979.

Fifth-seeded Stan Smith won his second consecutive singles title at the event.

Stan Smith defeated Wojciech Fibak 6–4, 6–0, 6–2 Bob Hewitt / Frew McMillan defeated Brian Gottfried / Raúl Ramírez 6–1, 6–4