Leading the AL with a .330 batting average, 44 home runs and 139 RBIs, Cabrera became the league's first Triple Crown winner since Carl Yastrzemski in 1967. A year earlier, Robinson won it.
"I want to congratulate Miguel on his magnificent year and winning the Triple Crown," Selig said. "Hard to believe it was 45 years since Carl Yastrzemski won it, and the year before our friend Frank Robinson. So it's a really momentous year."
Selig later presented the 2012 Hank Aaron Award to Cabrera, recognizing the third baseman for the best overall offensive season in the American League. But first, he and the league took a moment to look back on one of baseball's rarest offensive feats.
"It's not too many people who can have a Triple Crown," said Aaron, who joined Selig for the second half of the presentation. "I look back over my career and I say that was the one thing that I didn't do, but you did it and you did it with grace. And I know the way that I've seen you play that they were not infield hits, they were legitimate hits."
Giants catcher Buster Posey accepted the National League Hank Aaron Award during the same presentation.
In addition to becoming the 12th player in either league to win a Triple Crown since RBIs became an official stat, Cabrera became the first Latin-born player to achieve it.
"I'm very proud," Cabrera said, flanked on either side by Selig and Aaron. "[This is] my biggest day here in baseball."
Anthony DiComo is a reporter for MLB.com. Follow him on Twitter @AnthonyDicomo. This story was not subject to the approval of Major League Baseball or its clubs.