Blake Lively also received criticism for a social media post mocking the situation
"I have never been physically abusive in my life nor was I last night," he said. "Any accusations to the contrary are fabricated and meant to do harm to my reputation.
"I look forward to being fully exonerated."
According to the celebrity website TMZ, Avenatti was allegedly involved in a dispute with an unidentified woman on Tuesday and was arrested on Wednesday following a second confrontation.
The website initially identified the woman as Avenatti's estranged wife, Lisa Storie Avenatti, but she issued a statement to NBC saying he had never been violent with her.
Avenatti has been a thorn in the side of the US president as the attorney for Stormy Daniels, who is suing Trump to invalidate a non-disclosure agreement made days before the 2016 presidential election over an alleged sexual encounter she had with him.
Rumours have swirled for months over the prospect of Avenatti launching a presidential bid in 2020, when Trump will seek re-election.
But in recent months he has faced mounting legal and financial problems.
In addition to Daniels, his clients have included Julie Swetnick, who said she witnessed sexually abusive behavior by Brett Kavanaugh, the US Supreme Court justice whose volatile confirmation process was marked by multiple accusations of sexual assault when he was in high school.
If found guilty of the charge of domestic violence, Avenatti faces up to four years in prison.
Blake Lively also received criticism for a social media post mocking the situation
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