 Several lesser known moments in the rivalry occurred during the 1930s . Pitcher Red Ruffing was traded in 1930 from the Red Sox to the Yankees . Ruffing , who had limited success with the Red Sox , would go on to a Hall of Fame career with the Yankees winning 6 World Series with them . On August 12 , 1934 , then the largest crowd in the history of Fenway Park , 46 @,@ 766 , witnessed Babe Ruth 's final game at Fenway Park in a Yankees uniform in a game Boston would lose . A year later , the crowd record would be broken again when the two teams met again on September 22 , 1935 . Record crowds would also show up at Yankee Stadium . On May 30 , 1938 , before 83 @,@ 533 spectators , Yankees outfielder Jake Powell and Red Sox player @-@ manager Joe Cronin fought on the field and beneath the stands . Both players were fined and suspended for 10 games . The Yankees and Red Sox would finish first and second in the League respectively that year as well as the following . The Yankees went on to sweep the Chicago Cubs in the World Series and the Cincinnati Reds in the World Series a year later . 
