five tackles despite suffering a sprained ankle during the game. He did not start but did play at Washington after missing two days of practice due to the injured ankle. He recorded two tackles and a tackle for a loss at the Carolina Panthers. In the season finale against the St. Louis Rams, Canty led all defensive linemen with five tackles and also had a tackle for a loss. In 2006, the team moved to a 3-4 defense and Canty earned the starting role at right defensive end. He went on to start all 16 regular season games and Dallas's lone playoff game. He recorded 33 tackles and 1 sack. In 2007, he registered 43 tackles (30 solo), 3.5 sacks, and 2 passes defensed. In the Cowboys lone playoff game, their third game against the New York Giants on the season, Canty registered three tackles (two solo), one sack and one pass defensed. After the Cowboys made the decision to give a five-year extension to Jay Ratliff, on June 11, 2008 season, Canty signed a one-year tender offer worth $2.017 million to remain with the team. He started all 16 games for a third consecutive year, producing 37 tackles (25 solo), 3 sacks and a career-high 5 passes defensed. New York Giants On March 1, 2009, Canty signed with the New York Giants; the six-year contract is worth $42 million, with $17.25 million guaranteed. He was named the starter at right defensive tackle in then team's 4-3 defense, but missed eight games with knee and hamstring injuries. In 2011, he registered career-high marks in tackles (47) and sacks (4). At the end of the 2011 season, Canty and the Giants appeared in Super Bowl XLVI. He started in the game as the Giants defeated the New England Patriots by a score of 21–17. On August 27, 2012, Canty was placed on the physically unable to perform list after it was determined he would need more time to recover from off-season knee surgery. On October 20, he was activated off the PUP list. On November 2, he was fined $15,750 for roughing the passer. Canty suffered a sprained MCL on December 23, against the Baltimore Ravens and missed the season finale. After playing in only 9 games, he registered 25 tackles (20 solo) and 3 sacks. He was released by the Giants on February 6, 2013, in a salary cap move.