1979 Fischer-Grand Prix
Date	22–28 October
Edition	5th
Category	Grand Prix
Draw	32S / 16D
Prize money	$100,000
Surface	Hard / indoor
Location	Vienna, Austria
Venue	Wiener Stadthalle
Champions
Singles
Stan Smith[1]
Doubles
Bob Hewitt / Frew McMillan[2]
← 1978 · Vienna Open · 1980 →

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.