Paul Stastny had a goal and two assists, and Milan Hejduk also scored for Colorado, which won for the second time in five games. Peter Budaj stopped 26 shots while making his fourth consecutive start.
The Avalanche power play was 0-for-14 over three games before Sakic's goal at 16:43 of the first period. Sakic has four goals and four assists in six games.
Vincent Lecavalier scored his 23th goal and Vaclav Prospal added one for Tampa Bay. The Lightning fell to 6-11-1 in their last 18 games.
Marc Denis, Colorado's first-round draft choice in 1995, made 28 saves for the Lightning.