The 1979 Stockholm Open was a tennis tournament played on hard courts.

The men's event was part of the 1979 Colgate-Palmolive Grand Prix, while the women's took part of the 1979 WTA Tour and took place at the Kungliga tennishallen in Stockholm, Sweden.

The women's tournament was held from 2 November through 5 November 1979 while the men's tournament was held from 5 November through 11 November 1979.

[4] John McEnroe defeated Gene Mayer, 6–7, 6–3, 6–3 Billie Jean King defeated Betty Stöve, 6–3, 6–7, 7–5 Peter Fleming / John McEnroe defeated Tom Okker / Wojciech Fibak, 6–4, 6–4 Betty Stöve / Wendy Turnbull defeated Billie Jean King / Ilana Kloss, 7–5, 7–6