Bondra scored on a slap shot from the right-circle at 12:16 of the first period and added a second-period shorthanded breakaway goal at 12:06.
Bondra, who also had an assist, has 29 goals in 29 games against Tampa Bay. In the last two games against the Lightning including the Capitals' 10-1 win at Washington on Feb. 3 Bondra has six goals and two assists.
Alexandre Daigle scored twice for Tampa Bay, which has the NHL's worst record at 13-42-5. The forward scored a first-period power-play goal and closed out the scoring with 1:31 left to play.
Washington needed just three shots to take a 2-0 lead 2:39 into the game on goals by Richard Zednik and Craig Berube.
Jaroslav Svejkovsky, Bondra and Enrico Ciccone also had first-period goals as Washington scored five times on 13 shots.
Svejkovsky has a goal in three straight games and a six-game point streak three goals, seven points.
Washington got second-period power-play goals from Sergei Gonchar, during a 5-on-3 at 9:08, and James Black at 10:06.
Zednik scored on Washington's first shot at 1:25 when a Jan Bulis centering pass deflected off the left wing's skate. Berube snapped a 23-game goal-scoring drought at 2:39 when he scored a rebound goal.
After the Lightning made it 2-1 at 7:17 on Daigle's goal, Svejkovsky had a man-advantage goal at 8:51.
The Lightning pulled goalie Derek Wilkinson after allowing three goals on six shots. Corey Schwab then gave up the first Bondra goal on the second shot he faced.
Ciccone scored his first goal in 31 games at 17:52.
Capitals goaltender Olaf Kolzig, making his 15th consecutive start and 27th in Washington's last 28 games, stopped 11 of 12 shots during the decisive opening period.
Washington center Joe Juneau missed the game with a foot injury.
Tampa Bay coach Jacques Demers (983) moved past Jack Adams into sixth place all-time on the games coached list.
Calle Johansson, who had three assists, appeared in his 726th Washington game, tying him with Rod Langway for the most games played by a Capitals defenseman.
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