During that time, the Braves made the postseason just twice, never winning it all.
Thanks to Interleague Play, the two former city rivals have been facing off regularly since Interleague games were instituted in 1997. In that time, the Braves own a 23-13 record against the Red Sox.
The Red Sox came out on top the last time the two teams met, taking two out of three games from the Braves in May of last season.
After carrying seven straight winning seasons into Interleague Play, the Braves have had a losing record the past two seasons, going 7-8 last season.
The series will be the Braves' first Interleague set this season, but Braves manager Bobby Cox said that the approach doesn't change facing the American League.
"The game is still the game," Cox said.
Though Cox said that he wasn't much of a fan of Interleague Play when it started, he enjoys facing some different opponents.
"Not when it started, I didn't like it, but now I do," Cox said. "You get tired of playing the same teams."
BOS: LHP Jon Lester (0-0, 6.23 ERA)
Lester's debut performance on June 10 was delayed almost five hours by rain, but the 22-year-old managed to patiently wait before allowing three earned runs over 4 1/3 innings, along with four strikeouts.
ATL: RHP Tim Hudson (6-4, 3.79 ERA)
The veteran right-hander has allowed two earned runs in each of his past three starts and two or less in six of his past seven outings.
Player to watch
Edgar Renteria has hit .368 with 14 hits against his former team.
Interleague by the numbers:
Braves vs. Red Sox: 23-13
All-time Braves Interleague records:
Most home runs: Chipper Jones, 32
Most hits: Andruw Jones, 149
Most Interleague RBIs: Andruw Jones, 91
Most Interleague wins: Greg Maddux, 16
Lowest Interleague ERA: Tom Glavine, 2.97
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Saturday: Red Sox (RHP Josh Beckett, 7-3, 5.26) at Braves (LHP Horacio Ramirez, 2-2, 5.06), 1:20 p.m. ET
Sunday: Red Sox (RHP Curt Schilling, 9-2, 3.59) at Braves (RHP John Smoltz, 4-5, 3.78), 8:05 p.m. ET
Tuesday: Blue Jays (LHP Scott Downs, 1-0, 5.64) at Braves (RHP John Thomson, 2-6, 4.68), 7:35 p.m. ET