The righthander held the Braves to three singles in pitching his first shutout since June 2, 2007.
The game was played in two hours, two minutes.
The Braves had 19 hits the night before.
The Phils have won nine of their last 10 meetings against Atlanta, dating to last season.
The Phils have won two of the last three series and are 13-13 heading into Washington for a weekender with the Nationals.
Starting pitching report
Blanton (3-3) struck out six and did not walk a batter. He threw just 88 pitches.
Atlanta righthander Randall Delgado gave up just two runs over eight innings. He did not walk a batter and struck out five.
At the plate
The Phillies manufactured a run in the first as Jimmy Rollins and Juan Pierre (bunt) singled. Rollins moved up on a fly ball and scored on Hunter Pences sacrifice fly. Laynce Nix gave the Phils a 2-0 lead with a home run to dead center in the seventh. Nix is 5 for 11 with two doubles, a homer and four RBIs in the last four games.
Victorino's two-run home run in the ninth extended the lead.
In the field
Centerfielder Victorino made an over-the-head running catch on Delgados drive in the sixth. Victorino had been playing shallow and the Braves pitcher nearly got it over his head for extra bases.
Roy Halladay left the team to tend to a personal family matter (see story).
The Phillies open a three-game series at Washington on Friday night. Here are the pitching matchups: