Here is Carmelo's entire apology, word-for-word:
"First of all, everybody knows why I’m in front of you guys today -– for the incident that happened early Monday morning. First of all, I’m just here to truly apologize to my fans, the Denver Nuggets organization, my family and my teammates for the distraction this (brought) them. Hopefully, we can put this behind us, I can put this behind me, but most importantly I’m here to just man up to my mistake and just to let you know that I’m truly sorry about what happened and everything that’s going on.
What happened Monday morning was truly and totally unacceptable. But like I said, I just wanted to let you all know that I apologize, once again, to my fans, to my family, to my teammates for the distraction that I have (brought) to this organization, to this city and to myself.
Once again, I want to thank everybody who’s been with me throughout this whole time, this whole situation. At the same time, truly to let you know that I’m really, really apologetic about the situation. I know that this is uncalled for. Right now it’s kind of bad timing, due to the playoffs, due to our team’s success. For this to happen, like I said, it’s totally unacceptable.
Here is also the video of the press conference.