Police have not yet determined whether he was killed by officers or by a self-inflicted gunshot.
Authorities believe that Santa Perez has lived in the Cincinnati area since 2015.
Video caught on nearby surveillance cameras would also be made public once cops have screened it, Isaac said. "We are in the very early stages and are beginning an investigative process".
Four shooting victims were taken to the trauma center at University of Cincinnati Medical Center, a police spokeswoman said.
Cincinnati Police Chief Eliot K. Isaac said at a news conference that a weapon was recovered from the scene, but did not provide any information about the suspect's identity or their possible motive.
Witnesses said they heard volleys of gunfire and one said that a woman was shot as she entered the bank building's lobby.
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Patrick Leahy, D-Vt., is shown during his opening statement at Brett Kavanaugh's confirmation hearing for a seat on the U.S. Supreme Court nominee Brett Kavanaugh prepares to testify during the third day of his confirmation September 6, 2018 .
People are also being asked to continue to avoid the area around Fountain Square.
Emergency personnel and police respond to a reported active shooter situation near Fountain Square, Thursday, Sept. 6, 2018, in Cincinnati. Leonard Cain told The Cincinnati Enquirer he was going inside the bank when someone alerted him there was shooting. Although people tried to get her attention before she entered the building, she was wearing headphones and did not hear them.
Varying media accounts quote witnesses as saying they heard anywhere from eight to 15 gunshots. "Apparently there were shots below, and then he moved up to the lobby". "Our thoughts and prayers are with the victims, their families and all involved".
The mayor said the incident "is not normal, and it shouldn't be viewed as normal", adding the the United States is the only industrialized nation with frequent active shooter incidents.
The carnage unfolded in Fountain Square, a popular venue populated by office buildings, restaurants and retail stores.
Fifth Third, which operates 1,200 banking centers across several states, in a statement offered its "thoughts and prayers" for everyone "caught up in this awful event".
McDonald says his co-workers were told to stay in place and that he saw two men wheeled out on stretchers. "What a sick, tragic way for this day to begin". "The scourge of gun violence leaves only loss", Sittenfeld wrote on Twitter.