Painter hit Billy Bajema with a 4-yard TD pass that tied the score in the third quarter and then hit Deonte Thompson later in the period with a 22-yard strike.
Joe Flacco started for the Ravens and completed 9-of-12 passes for 88 yards and the only touchdown Baltimore scored in the first half.
Atlanta's Matt Ryan was an impressive 9-of-13 for 155 yards. Ryan threw a 7-yard scoring pass to Julio Jones, who finished the night with six catches for 109 yards.
The Falcons led 17-7 at halftime but failed to score in the second half. They wound up with 10 penalties for 120 yards compared with 25 yards in penalties for the Ravens.
Swim Week Miami Beach 2014 [PHOTOS]