Guillen was sent to the showers for arguing a called third strike to Chicago's Paul Konerko by plate umpire Todd Tichenor in the first inning of New York's 3-1 victory.
He then tweeted, "This one going to cost me a lot money this is patetic (sic)," a violation of MLB's rule against posting remarks on the social network site during a game.
Guillen will sit out Chicago's games Friday and Saturday against the Baltimore Orioles at U.S. Cellular Field.
(Writing by Steve Ginsburg in Washington. Editing by Frank Pingue)