The Seiko World Super Tennis, also known as the Tokyo Indoor, was a men's tennis tournament played on indoor carpet courts at the Tokyo Municipal Gym in Tokyo, Japan that was part of the 1979 Colgate-Palmolive Grand Prix.

The tournament was held from 30 October through 4 November 1979.

It was a tournament of the Grand Prix tennis circuit and matches were the best of three sets.

Reigning champions and first-seeded Björn Borg won the singles title.

Björn Borg defeated Jimmy Connors 6–2, 6–2 Marty Riessen / Sherwood Stewart defeated Mike Cahill / Terry Moor 6–4, 7–6