Giambi had three hits and three RBI.
Alex Rodriguez and Robinson Cano also homered for the Yankees (6-6), who avoided a three-game sweep. Winning pitcher Chien Ming-Wang (1-0) gave up seven hits and two runs in seven innings with no walks and eight strikeouts.
Alex Rodriguez passed Cal Ripken Jr. and landed at No. 32 on the all-time list with his 432nd homer.
Loser Brad Radke (2-1) surrendered six runs and 10 hits in six innings with no walks and one strikeout.
Senate Democrats to pull all-nighter on climate change
Interpol investigating stolen passports on missing flight