It was the third weekly award this season for the nine-time All-Star and 14th of his career.
Ramirez was slightly injured in a collision with teammate Edgar Renteria on Thursday.
Ramirez batted .533 last week with three homers and a league-leading 10 RBI in five games. He also recorded a .563 on-base percentage and a 1.200 slugging percentage with 18 total bases.
"There's no way we could survive without Manny for two months of a playoff run," said center-fielder Johnny Damon about Ramirez being on the trading block prior to baseball's trading deadline at the end of July.