The reigning World Series champions also got outfielder Ben Francisco and Cleveland received four minor league prospects -- pitchers Jason Knapp and Carlos Carrasco, shortstop Jason Donald and catcher Lou Marson.
It marked the second straight year the Indians dealt the AL Cy Young award-winner from the previous season to an NL contender.
In 2008, they sent left-hander CC Sabathia to Milwaukee.
In 22 2009 starts, Lee, 30, is 7-9 (152 innings) with just 33 walks, 107 strikeouts and a 3.14 ERA.
In 182 career games (178 starts), Lee is 83-48 with a 4.01 ERA.
Francisco is batting .250 with10 homers, 33 RBI and 13 stolen bases.
In his three-year career, he has a .261 average with 28 homers, 99 RBI and just five errors in 433 fielding chances.