In the interview, set to air Monday, Sterling apologized for his comments about African Americans, but maintained that he was set up by his girlfriend V. Stiviano.
"I don't know why the girl had me say those things," he told Cooper. I was baited. I mean, that's not the way I talk. I don't talk about people for one thing, ever. I talk about ideas and other things. I don't talk about people."
"I'm not a racist," Sterling added. "I made a terrible, terrible mistake. And I'm here with you today to apologize and to ask for forgiveness for all the people that I've hurt."
Sterling, 80, received a lifetime ban from the NBA, which will also consider forcing him to sell the Clippers, a team he has owned since 1981.
He also promised never to repeat his "one mistake."
"Am I entitled to one mistake, am I after 35 years? I mean, I love my league, I love my partners. Am I entitled to one mistake? It's a terrible mistake, and I'll never do it again," Sterling said.
RadarOnline published another audio recording last week, in which Sterling appears to claim that he made racist comments because he was jealous of his girlfriend's relationship with black people.
"I'm jealous that she's with other black guys. I want her. So what the hell. Can I in private tell her, 'I don't want you to be with anybody?' Am I a person? Do I have freedom of speech?" he allegedly said.