Stu Jackson, the league's executive vice president of basketball operations, announced the fine Tuesday in a release, calling Stoudemire's language offensive and derogatory.
Stoudemire apologized Sunday to a fan for using the slur in response to a crude tweet in which the fan admonished the All-Star to "make up for this past season."
The fan, (at)BFerrelli, tweeted his comment on Saturday and received a direct message containing an expletive and the slur from the account Twitter verifies as Stoudemire's. BFerrelli, identified by the New York Daily News as Brian Ferrelli, posted a screen shot of the direct message. Direct messages can only be seen by the sender and the recipient.
Stoudemire also issued an apology in a statement on Tuesday.
"I am a huge supporter of civil rights for all people," he said. "I am disappointed in myself for my statement to a fan. I should have known better and there is no excuse."