“Chris, I apologise to you. My behaviour was unacceptable. And I'm here whenever you're ready to talk,” Smith added.
Less than an hour after the incident, Smith gave a tearful speech on stage as he accepted the best actor award for his role in “King Richard,” portraying the father of tennis superstars Serena and Venus Williams.
In the new video, Smith addressed the question of why he did not apologise to Rock during his speech.
“I was fogged out by that point. It's all fuzzy,” Smith said.
In April, Smith resigned from the Academy of Motion Picture Arts & Sciences, the group that award the Oscars, and the organisation banned him from attending the ceremony for 10 years.
Rock’s joke about Pinkett Smith made a reference to the 1997 film “G.I. Jane” in which actress Demi Moore shaved her head. It was unclear whether Rock was aware that she has a condition that causes hair loss.
Smith said his wife, who rolled her eyes at Rock's joke, did not ask him at that moment to address the matter.
He also said “it hurts me psychologically and emotionally to know I didn't live up to people's image and impression of me.”
“Disappointing people is my central trauma,” Smith said. “I hate when I let people down.”