Marshall came into the game with 931 yards and easily gained the 69 yards he needed to set the record.
The 31-year-old separated himself from Randy Moss, Irving Fryar, Terrell Owens and Tony Martin, who each hit the 1,000-yard mark with three teams.
Marshall has now gone for at least 1,000 yards in eight of his 10 seasons since being drafted in the fourth round by the Denver Broncos in 2006. He recorded 1,000 yard seasons with the Broncos, Miami Dolphins and Chicago Bears prior to this season.
Marshall failed to hit 1,000 yards last season with the Bears, as he played in only 13 games while battling injuries.
The chances that Marshall will reach 1,000 yards with a record fifth team are slim to none—Marshall said that he would retire if the Jets do not keep him.