The 36-year-old rapper proposed to Kim at AT&T Park in San Francisco, getting down on one knee in front of a 50-piece orchestra while the words 'PLEESE MARRY MEE!!!' flashed up on the jumbotron.
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West also presented Kim with a 15-carat diamond ring from jeweler Lorraine Schwartz.
After asking the big question, friends and family of the couple came running out of the dugout to toast the newly engaged couple, who welcomed daughter North West earlier this year.
"Last night was truly magical!!! I am the luckiest girl in the world!" Kim told E! News on Tuesday. "I get to marry my best friend!"
SEE KIM'S REACTION TO KANYE'S PROPOSAL: Kim Kardashian & Kanye West's Proposal Video Is Here And It's Adorable
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