Beckett became one of six Red Sox pitchers in history to win their first seven starts.
George Winter and Mickey Harris both won their first seven starts in a season, and Babe Ruth, Dave Ferriss and Roger Moret all won their first eight starts in a season.
He threw seven shutout innings, Burnett threw seven and two thirds.
The Red Sox eventually lost the game in the bottom of the 15th, when Alex Rodriguez hit a walk-off two run home run.
As a high school junior, Beckett was ranked by Baseball America as the top high school prospect in the country and his team as the top high school baseball team.