Giguere plays for the National Hockey League's Anaheim Ducks. He was drafted 13th overall by the Hartford Whalers in the 1995 NHL Entry Draft. He has played for the Verdun Collège-Français, Halifax Mooseheads, Hartford Whalers, Saint John Flames, Calgary Flames, Cincinnati Mighty Ducks and Mighty Ducks of Anaheim.
After brief and overall-mediocre stints in the Hartford and Calgary organizations, Giguere was traded by the Flames to the Mighty Ducks of Anaheim for a 2nd round selection in the 2000 NHL Entry Draft. He began the 2000-01 season with the Ducks' farm team in Cincinnati, until he was recalled to their parent club for 34 games. After working with famous goalie coach François Allaire, Giguere regained the confidence he showed in juniors and quickly became Anaheim's newest starter. In the 2002-03 season, Jiggy enjoyed the best season of his NHL career-to-date, with 34 wins, a .920 save percentage and an impressive 8 shutouts.
During the 2003 Stanley Cup Playoffs, Giguere led the Mighty Ducks to the Stanley Cup Finals, where they lost in seven games to the New Jersey Devils. He won the Conn Smythe Trophy as most valuable player of the playoffs for his efforts in series wins against the Detroit Red Wings, Dallas Stars and Minnesota Wild and pushing the Finals to the seven game limit. He was a perfect 7-0 in overtime, setting a record for longest amount of playoff overtime played without allowing a goal at 168 minutes, 27 seconds, including multiple overtime victories in Game 1 of each of the first three series. He also held the Wild to an all-time best-of-7 series low of one goal in the entire Western Conference Finals, posting a shutout streak of 217 minutes, 54 seconds during that series. He finished with a 15-6 record, a 1.62 Goals Against Average and .945 Save Percentage (the best of all playoff goaltenders that year), and fewer losses than his Finals counterpart Martin Brodeur. He was the fifth player to receive the Conn Smythe Trophy playing for the losing team, the first since Philadelphia's Ron Hextall in 1987.
After being rewarded with a large contract in the off-season, Giguère was inconsistent throughout the 2003-04 season as the Mighty Ducks missed the playoffs. Some hockey pundits speculated that he may have been rattled from having come so close, yet failing to winning the Stanley Cup the previous season.
After the lockout cancelled the 2004-05 season, Giguere returned for the '05-'06 season and appeared to have regained a level of play approaching his 2003 glory. One incident, though, almost proved damaging for him. On January 25, 2006, Anaheim was playing against the Oilers at the Arrowhead Pond, the Ducks' home arena. Ryan Smyth of Edmonton was chirping Giguere consistently. He already drew one minor penalty for unsportsmanlike conduct. When Smyth scored a goal off of a feed from Shawn Horcoff, Giguere got angry. The next time that he saw Smyth in the crease, Giguere tripped Smyth. When Smyth stood back up, he got pushed in the face by the disgruntled goalie. These two minor penalties, which were going to be served by Anaheim forward Samuel Pahlsson, were not enough. When an official led Smyth away, he gave a challenge signal to Giguere, who then charged at Smyth and knocked him down onto the ice. It resulted in a ten-minute misconduct. In total, Giguere was awarded 14 penalty minutes, and 16 PIM in total.
In April 2006, he and the Ducks again entered the Stanley Cup Playoffs, but were eliminated in the Western Finals by the Edmonton Oilers. Giguere appeared in just 4 games before being replaced in net by Russian rookie Ilya Bryzgalov. With the first round series on the line, management seemed to have lost faith in Jiggy. In fact, Giguere's club record of consecutive playoff shutout minutes was broken by his backup's surprising string of three consecutive shutouts. His overtime playoff shutout recond however was extended to 8-0 and is still active.
As of December 2006, Giguere seems to have won his starting role back, and is putting up solid numbers for the 2006-2007 season. In October 2006, he did not lose a single game in regulation.