From 1991 to 2005 the Braves , with the exception of 1994 because of a strike , won their division . With their strong pitching as a constant , the Braves appeared in the and 1999 World Series ( losing both to the New York Yankees ) , and had a streak of division titles from 1991 to 2005 ( three in the Western Division and eleven in the Eastern ) interrupted only in 1994 when the strike ended the season early .