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".
Daniels, real name Stephanie Clifford, was believed to have been performing at Columbus strip club Sirens when she "was arrested for allegedly allowing a customer to touch her while on stage in a nonsexual manner" during a "sting operation", her lawyer, Michael Avenatti, tweeted Thursday.
It also outlaws touching a nude or semi-nude dancer or their clothing in or in the direct vicinity of the club - unless the person is a member of the dancer's immediate family.
She fondled a third officer's buttocks and breasts, according to the documents.
Stormy Daniels was arrested Wednesday night over an incident at a strip club.
After denying knowledge of the payment, Trump admitted in May that his longtime lawyer, Cohen, was reimbursed through a monthly retainer for a $130,000 payment made to Daniels in 2016 to stop what Trump called "false and extortionist accusations" about a decade-old affair.
The lawyer also took to Twitter early Thursday morning, calling the arrest a "a setup & politically motivated". "Are you kidding me?" he wrote.
Ms Daniels became embroiled in a row with President Donald Trump after saying she had slept with him in 2006, an allegation which he denies.
"It reeks of desperation", Avenatti tweeted.
He said he expected his client to be released on bail and that she would be charged with a misdemeanor for allowing touching.
CNN has reached out to the Columbus Police Department for more details.
"This is ridiculous that law enforcement resources were used to conduct this sting operation", he said. "We will fight all bogus charges", Avenatti tweeted.
Daniels was scheduled to perform at Sirens Gentlemen's Club on Wednesday and Thursday, according to its website.
Daniels, 39, filed a lawsuit against Trump and his former personal attorney, Michael Cohen, late a year ago, seeking to invalidate a nondisclosure agreement that she says barred her from speaking about the alleged affair. There has to be higher priorities!
Cohen allegedly paid Daniels $130,000 to keep quiet about her sexual encounter with Mr. Trump.