He was listed as questionable for the game earlier in the day, but now will officially miss his second straight game.
Young is averaging 25.4 points and 9.5 assists this season, his third in the NBA.
Forward Danilo Gallinari will also miss his second straight game with a foot injury.
The Hawks continue to make noise in the Eastern Conference, having won five of their last six games. The team enters play Tuesday sitting fourth in the conference with a 29-25 record.