The 1979 Swiss Indoors was a men's tennis tournament played on indoor hard courts at the St. Jakobshalle in Basel, Switzerland that was part of the 1979 Colgate-Palmolive Grand Prix. It was the 11th edition of the tournament and was held from 15 October through 21 October 1979. Third-seeded Brian Gottfried won the singles title.
Brian Gottfried defeated Johan Kriek 7–5, 6–1, 4–6, 6–3
Frew McMillan / Bob Hewitt defeated Brian Gottfried / 
Raúl Ramírez 6–3, 6–4