Police said Daniels, whose real name is Stephanie Clifford, smacked the faces of two female officers and one male officer with her bare breasts. Officers knocked on the door of her tour bus after the performance and took her into custody.
Her attorney, Michael Avenatti, said Daniels was "traumatised and rattled" following the arrest.
She was booked under a 10-year-old state law known as the Community Defense Act that says dancers at "sexually oriented" businesses are prohibited from touching customers and vice versa.
Police said two other dancers were arrested along with Daniels. Prosecutors will decide whether to pursue charges against those women.
Police said Daniels' arrest was part of a long-term human trafficking investigation of adult clubs. They said they have made numerous arrests under the no-touching law but did not immediately provide a number.
The police department "engages in these operations routinely," said spokesman Sgt. Dean Worthington.
Daniels cancelled her Thursday night performance at Sirens, where she was booked for a two-night engagement. Avenatti posted on Twitter a statement from Daniels apologising to her fans in Columbus.
A person who answered the phone at the strip club declined to comment.
Daniels has said she had sex with Trump in 2006, when he was married. Trump has denied it. Before the election, she was paid US$130,000 to stay silent in a deal handled by Trump's personal attorney Michael Cohen.
She is now suing to invalidate the nondisclosure agreement.
- AP
