He joined the Chicago White Sox the next season and became one of the top sluggers and designated hitters in the American League. With the White Sox, he was chosen the Designated Hitter of the Year for 1981 and also in 1983, the season when he set a then-record for most home runs in a season by a designated hitter with 32, and thrice hit the roof of the old Comiskey Park in Chicago. Luzinski hit five home runs in five consecutive games, a franchise mark, which has since been tied by Ron Kittle, Frank Thomas (twice), Carlos Lee, and Paul Konerko. Luzinski returned to the postseason in the 1983 American League Championship Series, which the Sox lost to Baltimore three games to one.