The newspaper reported that, months after Harvey Weinstein's public accusation of rape, Argento agreed to make payments to Bennett after he accused her of assault.
Argento denied the allegations in the newspaper in a statement that was first reported by the Huffington Post on Tuesday and said: "I am deeply shocked and hurt by reading news that is absolutely false, I have never had any sexual relationship with Bennett . "
The Los Angeles County Sheriff Department said on Monday that it was trying to get Bennett to document all possible criminal accusations in the right way.
The Times reports that it has obtained documents showing Argento to pay Bennett $ 380,000 after accusing her of having sexually assaulted him in a hotel in California in 2013.
As part of the agreement, Argento reportedly received the copyright of the photos.
Argento's lawyer, Carrie Goldberg, did not respond to CNN's requests for comment.
"At the moment, our customer, Jimmy Bennett, does not want to comment on the documents or events discussed in the New York Times article last night," the statement said.
"Although we realize that the news cycle requires an immediate response, people often need more than a few minutes or hours to respond, and we ask that you give our customers time and space."
"Jimmy will take the next 24 hours or longer to prepare his response," the statement added. "We ask that you respect the privacy of our customers at this time and my office will contact them as soon as they are ready to give their official answer."
There is no response at this time.
Argento and Bennett played the leading role in the 2004 film, "The Heart Is Misleading Above All Things." Bennett played her son.
Argento played a pioneering role in the # MeToo movement and is one of the women accused by Harvey Weinstein of being raped.
Weinstein has not pleaded guilty to six crimes of gender discrimination – two counts of rapacious sexual assault, two counts of rape, a first-rate act of criminal sexual acts and one criminal sexual act.
The indictment arises from accusations of three women, according to judicial documents. None of the allegations against Weinstein at the moment come from Argento's accusations.
Weinstein has all allegations of & # 39; non-conscious sexual activity & # 39; denied and he remained free after he deposited $ 1 million in cash.
The indictment against Weinstein came nine months after The New Yorker and The New York Times published reports from several women who accused him of various forms of sexual misconduct.
CNN & # 39; s Susannah Cullinane and Lisa France contributed to this report.