The 1979 Campionati Internazionali di Sicilia, also known as the Palermo Grand Prix or Palermo Open, was a men's tennis tournament played on outdoor clay courts in Palermo, Italy that was part of the 1979 Colgate-Palmolive Grand Prix.

It was the inaugural edition of the tournament and took place from 17 September until 23 September 1979.

First-seeded Björn Borg won the singles title.

Björn Borg defeated Corrado Barazzutti 6–4, 6–0, 6–4 Peter McNamara / Paul McNamee defeated Ismail El Shafei / John Feaver 7–5, 7–6