The Cleveland Indians open their season with three consecutive extra innings games, amassing 41 total innings.
After ten innings, the contest between the Philadelphia Phillies and New York Giants at the Baker Bowl is called a 4-4 tie. The Phillies tie an NL record by turning six double plays, with Phillies shortstopBlondy Ryan tying the individual mark by being part of five of the double plays.
May 8 - In the first game of a double header with the Philadelphia Phillies, Cincinnati Reds catcherErnie Lombardi ties a Major League record by hitting four consecutive doubles en route to a 15-4 victory. Lombardi logs just one at-bat in the second game, and gets a single.
May 25 - Babe Ruth of goes 4-for-4 with three home runs and six runs batted in. It is the last multi-homer game of Ruth's career, with the final home run, the 714th of his career, being the first ball ever hit to clear the roof at Forbes Field in Pittsburgh.
May 30 - Babe Ruth ends his playing career with the Boston Braves.
July 22 - With a 4-2 victory over the Cincinnati Reds, the Boston Braves end a fifteen-game losing streak.
July 23 - With first place in the American League on the line, the Detroit Tigers and New York Yankees split a double header. Detroit wins the following day, 4-0, to leave Detroit a half game up on the Yankees. They remain in first for the remainder of the season.
August 10 - The New York Yankees defeat the Philadelphia A's, 18-7. Right fielderGeorge Selkirk hits two home runs and drives in eight.
August 27 - In the first game of a double header at Comiskey Park with the Chicago White Sox, Lou Gehrig goes three-for-five with two RBIs and two runs scored to lead the Yankees to a 13-10 victory. In the second game, Gehrig is walked five times. Chicago wins that game, 4-3.
August 31 - Vern Kennedy pitches a no-hitter as the Chicago White Sox defeat the Cleveland Indians, 5–0. It is the first no-hitter in the American League since 1931, and the first ever at Chicago's Comiskey Park.
September 12 - The Philadelphia Athletics sweep a double header from the Chicago White Sox to end a thirteen-game losing streak.
September 27 - The first place Chicago Cubs sweep a double header with the St. Louis Cardinals that brings their winning streak to 27 games. The Cubs were in third place, 2.5 games back of the Cards, when the streak began.
October 2 - Schoolboy Rowe pitched effectively, however, his fielding error lead to two unearned runs in the first inning as the Chicago Cubs take game one of the 1935 World Series, 3-0.
October 3 - Hank Greenberg's two run home run caps off a four run first inning for the Tigers as Detroit takes game two of the World Series, 8-3. In the bottom of the seventh, Greenberg is hit by a pitch that ends his season.
October 4 - As part of a double switch, Freddie Lindstrom moves from centerfield to third base in the tenth inning of game three of the World Series. An inning later, he misplays Flea Clifton's ground ball to allow the Detroit Tigers to take the 6-5 victory.
October 5 - Gabby Hartnett hits a second-inning home run to put the Cubs on the board first, but the Tigers come back with two unanswered runs, and win 2-1.
November 26 - The National League assumes control of the bankrupt, Boston Braves franchise after several failed attempts to buy the last-place club. The league takes over only temporarily, until matters can be straightened out.
July 2 - Hank O'Day, 75, National League umpire for 30 years between 1895 and 1927 who worked in ten World Series; won 22 games as pitcher in 1890 Players' League, and also managed the Reds and Cubs
July 10 - Paul Hines, 83, center fielder who won the first Triple Crown in 1878, also led NL in doubles three times and ended career with lifetime average over .300; had more hits than any other player over NL's first five seasons, and was second player to collect 1500 hits
October 22 - Tommy Tucker, 71, first baseman for the Baltimore Orioles, Boston Beaneaters, Washington Senators, Brooklyn Bridebrooms, St. Louis Browns, and Cleveland Spiders between 1887 and 1899, who led the American Association hitters in 1889 with a .372 average
November 6 - Billy Sunday, 72, outfielder who ended his baseball career to become a renowned evangelist
November 13 - Frank Navin, 64, owner of the Detroit Tigers since 1908 who assembled the pennant-winning teams of 1907-09 and 1934–35
December 21 - Cy Rigler, 53, National League umpire since 1906 who worked in ten World Series and the first All-Star game; created arm signals for balls and strikes
December 28 - Jack Corcoran, 77, catcher for the 1884 Brooklyn Atlantics