The Ravens (7-4) have won five of their last six contests.
Reed's interception run was the longest in NFL history, breaking his old mark of 106 yards.
Le'Ron McClain ran for a touchdown and Matt Stover kicked 44- and 42-yard field goals for the Ravens, who also registered a safety.
The Eagles (5-5-1) scored on a 100-yard kickoff return by Quintin Demps.
Philadelphia quarterback Donovan McNabb passed for only 59 yards against the Ravens' defense, which picked off two of his throws. McNabb was replaced in the second half by Kevin Kolb, who passed for 73 yards and also was intercepted twice.