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.
Finals
Singles
Stan Smith defeated 
Wojciech Fibak 6–4, 6–0, 6–2
- It was Smith's 7th title of the year and the 79th of his career.
Doubles
Bob Hewitt / Frew McMillan defeated Brian Gottfried / 
Raúl Ramírez 6–1, 6–4
- It was Hewitt's 3rd title of the year and the 55th of his career. It was McMillan's 3rd title of the year and the 60th of his career.
References
- ^ "1979 Vienna – Singles draw". Association of Tennis Professionals (ATP).
- ^ "1979 Vienna – Doubles draw". Association of Tennis Professionals (ATP).