Toronto Blue Jays pitcher Roy Halladay in 2009. (Mike Cassese/Reuters)

Roy Halladay, a two-time Cy Young Award winner who pitched a perfect game and a playoff no-hitter for the Philadelphia Phillies, died Nov. 7 when his private plane crashed into the Gulf of Mexico. He was 40.

Pasco County Sheriff Chris Nocco said in a news conference that Mr. Halladay’s ICON A5 aircraft went down about noon off Florida’s Gulf Coast. The sheriff’s office marine unit responded and discovered Mr. Halladay’s body in shallow water near some mangroves. No survivors were found.

Police said they could not confirm whether there were additional passengers on the plane or say where it was headed. The National Transportation Safety Board is investigating.

Mr. Halladay, who retired after the 2013 season, was an amateur pilot who often posted on social media about small planes. His father was a corporate pilot.

In a video, he said that the terms of his baseball contract prevented him from having a pilot’s license while playing and that his wife was originally against the idea of him getting the aircraft.

Roy Halladay announcing his retirement in 2013. (John Raoux/AP)

Mr. Halladay spent 12 seasons with the Toronto Blue Jays followed by four seasons with the Phillies. He was an eight-time all-star with a record of 203-105 and a 3.38 earned run average during his 16-year career.

Mr. Halladay established the Halladay Family Foundation, which has aided children’s charities, hunger relief and animal rescue. He was nominated several times for the Roberto Clemente Award, given by Major League Baseball to players for sportsmanship and community involvement. Clemente died in a plane crash while on a relief mission from Puerto Rico to help earthquake victims in Nicaragua on New Year’s Eve 1972.

Harry Leroy Halladay was born May 14, 1977, in Denver and grew up in nearby Arvada, Colo. He was nicknamed Doc and was a durable, 6-foot-6 right-hander.

He first pitched in the major leagues with the Blue Jays in 1998 and had his breakthrough season in 2002, when he went 19-7 with a 2.93 ERA.

Mr. Halladay won the Cy Young Award as the American League’s outstanding pitcher in 2003 after going 22-7, with nine complete games. He claimed the National League’s Cy Young Award in 2010 after going 21-10, with a 2.44 ERA for the Phillies.

He was a three-time 20-game winner and an old-style workhorse who pitched 67 complete games and 20 shutouts.

“You know, if my career’s two years, three years shorter than it could have been because I wanted to go out and pitch deep into games, I’m fine with that,” he said in a retirement news conference.

In 2011, Mr. Halladay was part of the “Four Aces” rotation in Philadelphia with Cliff Lee, Cole Hamels and Roy Oswalt. He and the Phillies lost 1-0 to St. Louis in the deciding Game 5 of the NL Division Series.

He pitched a perfect game for the Phillies at the Florida Marlins on May 29, 2010. That Oct. 6, against Cincinnati in the NL Division Series, he became only the second pitcher to throw a postseason no-hitter, joining Don Larsen, who accomplished the feat for the New York Yankees in the 1956 World Series.

He is eligible for the Hall of Fame in 2019.

Survivors include his wife and two sons.

Nocco, the sheriff, knew Mr. Halladay, who took part in a Florida charity fishing tournament last Friday.

“Many of you know Roy as a Cy Young winner, future Hall of Famer, one of the best pitchers ever to pitch the game of baseball,” Nocco said.

“His family purchased a dog for us — K-9 Doc. K-9 Doc is out there working, saving lives, making our community safer.”