Amber R. Bratcher, 32, of St. Louis, was charged with two counts of sexual battery and one count of aggravated criminal sexual assault, Cleveland police said in a statement Monday.
She was released on $100,000 bond, police said.
The arrest comes as more than two dozen people have been charged in connection with a series of sexual assaults at fraternity houses in St. Charles and Cleveland over the past month.
The victims include former members of the fraternity, including members of Alpha Phi Omega, and members of other sororities and fraternities, authorities said.
Cleveland police have been investigating two men who said they were sexually assaulted by Bratcher at an apartment complex near the fraternity houses, authorities have said.
The two men, ages 26 and 25, were treated and released from Cleveland Medical Center, Cleveland Mayor Frank Jackson said at a news conference Monday.
Two men who were at the apartment said they saw Bratcher pull down her pants and place her hands on their genitals as they were having sex, according to the complaint filed in the Cleveland District Court.
The complaint alleges that the alleged victim, who has not been identified, was left unconscious.
The two men were in the apartment at about 1:15 p.m.
Friday when the alleged victims reported that they had been assaulted, the complaint says.
Police responded to the apartment and found Bratcher and another person, who was arrested later that day, the lawsuit says.
Police said they found Brater’s phone on the second person.
She has been arrested, but has not yet been formally charged, the suit says.
The Cleveland police department declined to release the officers’ names.