Asked whether his client had apologised, Leclerc said: "He has nothing to apologise for."
Banon gave a television news interview later, saying she had maintained her allegation that the one-time French presidential hopeful had lured her to a Paris apartment and violently tried to rape her.
"There was a rape attempt and I repeated that," Banon said.
Both parties have given primetime interviews during the police investigation.
"I had in front of me exactly the same Strauss-Kahn that I saw on television, with the same arrogance, the same coldness," said Banon, who lodged a formal complaint against Strauss-Kahn in July.
She brought the charge after Strauss-Kahn was accused of attempting to rape a New York hotel maid, although charges related to that case were dropped after US prosecutors deemed the alleged victim unreliable.
"I thought he'd apologise at least for what he's admitted to. I looked at him constantly; he didn't dare look at me," Banon said, after Strauss-Kahn reportedly admitted he tried to kiss her.
The Socialist politician denies attempted rape, says Banon's allegation is imaginary and is suing her for defamation. His lawyers issued a statement after Banon's television appearance, calling her a liar.
"Dominique Strauss-Kahn formally denies having attacked Ms Tristane Banon and notes that she's lying about what happened during this morning's confrontation," Leclerc and Frederique Baulieu said.
Banon said during her television interview she did not feel hatred towards Strauss-Kahn, only contempt, and alleged he was employing people to try to discredit her.
"I knew I'd be given a hard time, just as Nafissatou Diallo (the hotel maid) was in the United States," she said.
"In what kind of country do you attack my lawyer, my childhood, my family, my father in order to explain that I wasn't the victim of an attempted rape?"
Banon also poured scorn on Strauss-Kahn's attempt to get a civil case brought by Diallo in New York dismissed, claiming diplomatic immunity as a former chief of the International Monetary Fund.
"That's just like him," she said. "I ask myself why would an innocent man need immunity? If I was wrongly accused of something, I wouldn't need diplomatic immunity.
"What does diplomatic immunity mean? That you have the right to attack women, to try to rape them, to rape them?"