Boozer has a fractured left leg, and Yao has a right knee injury.
Anthony, the league's leading scorer at 30.8 points per game, was left off the original roster, likely because of his on-court involvement in a brawl in a game at New York in December. His action in the fight cost him a 15-game suspension.
Howard, a rising young star, is averaging 19.6 points and 7.3 rebounds per contest.
"It is an honor to be selected to my first All-Star Team," Howard said. "This has been a dream of mine since I was a kid. It is especially gratifying to play alongside my teammate Dirk Nowitzki."
The NBA All-Star Game is scheduled for Feb. 18 in Las Vegas.