He entered the game Saturday 4 for 37 with two RBIs, but hit a two-run homer in the first and a three-run drive in the fourth. Both HRs were off AL Rookie of the Year Jeremy Hellickson.
Minnesota had 14 runs and 14 hits through the first four innings on their way to a 19-4 win over Tampa Bay.
Luke Hughes went 5-for-5 with a home run and two doubles.
Morneau has been anchoring the designated hitter spot recently, but hopes to return to 1B soon.