Anthony had missed the last eight games with a sprained left ankle suffered against the New Orleans Hornets on Jan. 23. Denver went 5-3 in his absence.
Martin, the team's leading rebounder at 9.4 boards a game, is suffering from patella tendonitis in his left knee. Martin has been experiencing chronic discomfort for the past 10 days and has played with pain in the last two games, the team said.
The Nuggets said his status for Thursday's matchup with San Antonio is a game-time decision.
Information from The Associated Press contributed to this report.