The first American League game played in Milwaukee since 1901 is a 4 – 2 California win against Chicago before 23,403 fans. Rain shortens the game to five innings. This is the first of the nine games the White Sox will play in Milwaukee this year.

On May 15, 1968 — The first American League game played in Milwaukee since 1901 is a 4 – 2 California win against Chicago before 23,403 fans. Rain shortens the game to five innings. This is the first of the nine games the White Sox will play in Milwaukee this year.

Source:
Baseball Reference May 15