New Orleans (3-5), which bounced back from a dismal 34-14 loss at Denver, also got a 22-yard touchdown run from Chris Ivory.
"There are defining moments throughout a season," Brees said. "Big plays, big wins, that kind of bring you together and let you see a vision of what you can be, what you can accomplish. Here we are the midway point. It's gone by fast.
"This," Brees added, "is the type of momentum we want going into the second half of the season."
Vick was sacked seven times.
"It's very frustrating," he said. "These are games that we have the opportunity to win, or get back in the game. At this point, everything has to be dead on. You can't miss, and you almost have to be perfect on every drive."
Philadelphia was far from perfect, but it sure had plenty of chances. Four times, the Eagles were staring at first-and-goal, but they managed just two field goals by Alex Henery. In fact, they were outscored in those situations, with Robinson going the other way for a touchdown just when it looked like Philadelphia was on the verge of scoring.
Cooper streaked down the sideline for an apparent touchdown. Only one problem -- Boykin's lateral actually was a forward pass by a few yards, ruining the play with a penalty. Cooper stood with his hands on his hips, in disbelief, as the officials brought it back.
The Eagles finished with 447 yards -- the eighth consecutive team to put up more than 400 yards on the Saints. That already was the longest streak of 400-yard games given up by a defense since at least 1950, and maybe in the history of the NFL, putting New Orleans on pace to shatter the record for most yards allowed in a season.
"The most important stat at the end of the day is points," Brees said. "Our defense came up with some huge plays tonight. If we can hold teams to 13 points, we're going to win a lot of games."
Philadelphia's last gasp was a fourth-down pass that Vick threw away in the back of the end zone with 7 seconds left, apparently more concerned about avoiding another pick than tacking on a meaningless TD.
Reid moved quickly to snuff out any talk about replacing Vick, which has become a weekly ritual.
Celek had a tough night. He also lost a fumble deep at the New Orleans 8 with just over 3 minutes remaining, essentially ending any hope of a Philadelphia comeback.
New Orleans was on the verge of blowing it open when it took the second-half kickoff and drove deep into Philadelphia territory. But the Eagles' defense came up with a big turnover, as Brandon Graham stripped the ball from Brees and fell on it at the Philadelphia 17. Two plays later, Vick found Jackson wide open down the right side on a deep throw, and he took it the rest of the way for a touchdown.
Henery connected from 22 yards early in the second quarter after the Eagles squandered a chance for more. Jackson appeared caught off guard by Vick's third-down pass in the back of the end zone, doing little more than sticking out his left hand in a halfhearted attempt to make the catch.
Philadelphia moved the ball effectively in the early going and looked to strike first after Brown broke off a 40-yard run to the New Orleans 5. After losing 1 yard on a run, the Eagles went to the air looking for the touchdown.
Instead, it was the Saints who scored. Vick's pass in the flat deflected off Celek's hands -- and right into the arms of Robinson, New Orleans' cornerback. He took off down the sideline in front of the shell-shocked Philadelphia bench, matching Darren Sharper's franchise record for longest interception return.
Copyright 2012 by The Associated Press