Don Larsen threw the first perfect game in Yankees history and the only such game in MLB postseason history.

Also known in their early years as the "Baltimore Orioles" (1901–02) and the "New York Highlanders" (1903–12), the New York Yankees have had ten pitchers throw eleven no-hitters in franchise history. A no-hitter is officially recognized by Major League Baseball (MLB) only "when a pitcher (or pitchers) retires each batter on the opposing team during the entire course of a game, which consists of at least nine innings". No-hitters of less than nine complete innings were previously recognized by the league as official; however, several rule alterations in 1991 changed the rule to its current form. A no-hitter is rare enough that two of the thirty teams in Major League Baseball have never had a pitcher accomplish the feat. Three perfect games, a special subcategory of no-hitter, have been pitched in Yankees history. As defined by Major League Baseball, "in a perfect game, no batter reaches any base during the course of the game." This feat was achieved by Don Larsen in 1956, David Wells in 1998, and David Cone in 1999. Wells later claimed he was a "little hung-over" while throwing his perfect game.

George Mogridge threw the first no-hitter in Yankees history, beating their rival Boston Red Sox 2–1, their only no-hitter in which the opposition scored. Their most recent no-hitter was David Cone's perfect game in 1999, the seventh Yankees no-hitter thrown by a right-handed pitcher and their third perfect game. The Yankees' first perfect game was also thrown by a right-handed pitcher, Don Larsen, and came in Game 5 of the 1956 World Series. Larsen's perfect game was the only no-hitter in MLB postseason play until Roy Halladay of the Philadelphia Phillies pitched a no-hitter in Game 1 of the 2010 National League Division Series. Coincidentally, Cone's perfect game came on "Yogi Berra Day" at Yankee Stadium. Berra had caught Larsen's perfect game and both he and Larsen were in the stands for the game. Of the eleven no-hitters pitched by Yankees players, three each have been won by the scores 4–0 and 2–0, more common than any other result. The largest margin of victory in a Yankees no-hitter was 13 runs, in a 13–0 win by Monte Pearson.

The longest interval between Yankees no-hitters was between the game pitched by Larsen on October 8, 1956 and Dave Righetti's no hitter on July 4, 1983, encompassing 26 years, 8 months, and 26 days. The shortest gap between such games fell between Allie Reynolds' two no-hitters in 1951, a gap of just 2 months and 16 days from July 12 till September 28. Reynolds is the only Yankees pitcher to throw multiple no-hitters in his career, and one of only four pitchers in Major League history to throw multiple no-hitters in a season along with Nolan Ryan in 1973, Virgil Trucks in 1952, and Johnny Vander Meer in 1938. The Red Sox and the Cleveland Indians have been no-hit by the Yankees more than any other franchise, each doing so three times. Notably, Reynolds' two no-hit victims in 1951 were the Red Sox and the Indians.