The lawyer also took to Twitter early Thursday morning, calling the arrest a "a setup & politically motivated".
But according to an arrest report cited by Columbus news station WBNS, police accuse Daniels of touching "a specified anatomical area" of individuals present at the performance, including police officers. "We will fight all bogus charges", Avenatti said on Twitter.
She is scheduled to appear in court for an arraignment on Friday.
But in a probable cause affidavit obtained by CNN affiliate WSYX, detectives who were at the Sirens Gentlemen's Club said they observed Daniels remove her top and force patrons' faces into her chest.
Mr Avenatti tweeted that Ms Daniels, real name Stephanie Clifford, had been performing "the same act she has performed across the nation at almost 100 strip clubs". He said his client was "performing the same performance that she has conducted at over a hundred strip clubs around the country".
Representatives for the Columbus Division of Police did not immediately respond to ABC News' request for comment. Daniels was released on $6,000 bond, but has been hit with three charges related to an obscure 2007 law that was spearheaded by conservatives and meant to restrict sexual activity and limit strip club operating hours.
The law places a wide range of restrictions, including no naked dancing after midnight, limits on when dancers can touch patrons and which clubs with liquor licenses can continue to stay open despite featuring nude dancing.
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Dailymail.com reached out to Sirens who refused to comment.
In April, Daniels filed suit in federal court in NY charging that Trump had defamed her.
A spokesman for the Franklin County Sheriff's office could find no instances in which the 2007 law had been used, he told the Dispatch. He was married to Melania Trump at the time and has denied Daniel's claim. "#SetUp #Basta", Avenatti said in a second tweet.
Avenatti called the arrest a "complete set up" in an interview with the Associated Press.
Her lawyer, Michael Avenatti, told followers on Twitter it was the: "same act she has performed across the nation at almost a hundred clubs".
-Story by Samantha Schmidt for the Washinton Post.