"He's an impact player, and has been a key part of every offense he has played for -- both as a blocker and as a receiver," said Saints General Manager Mickey Loomis.
Shockey, selected by New York in the first round (14th overall) of the 2002 NFL Draft, has played his entire six year career with the Giants. He has 4,228 yards and 27 touchdowns on 371 receptions.
"Jeremy is a very talented football player who always played with great enthusiasm and great effort," Giants Coach Tom Coughlin said. "He was excited about playing. Jeremy always enjoyed being a physical football player and a tough football player.
During last year's Super Bowl run -- during which Shockey, 27, was injured and unable to play -- tight end Kevin Boss started two regular season and four playoff games.
Ray Liotta sues skin care company over use of likeness
NBC reportedly holds celebs hostage to Jimmy Fallon's show