Isaac added that Perez fired about 35 shots and was carrying 200 rounds in the briefcase.
Michael Richardson, who was just outside the main doors of the bank when he heard gunshots, saw a police officer dragging a woman out of the bank lobby.
A spokeswoman for Fifth Third Bank says the company would comment later.
The Cincinnati Enquirer reports Dr. Lakshmi Sammarco had met 25-year-old Pruthvi Kandepi at a local Hindu temple.
"An individual entered the loading dock area, began firing shots", Cincinnati Police Chief Eliot Isaac said at a news conference.
The officers were wearing body cameras.
Officials said they stopped an active shooter in downtown Cincinnati after engaging him in a gun battle. "I think there's something deeply sick at work here".
The other two remain in hospital, one in a critical condition and the other serious.
Newcomer "will be greatly missed". He said one investigator warned it could have been "a bloodbath beyond imagination".
Londberg quoted the witness as saying, "I saw a guy in a white shirt walking around and shooting like this" (the witness held up his right arm straight in front of him) 'bing bing bing bing, '" and then added, "He ran.
Eric Kearney, president of the Greater Cincinnati and Northern Kentucky African American Chamber of Commerce, was in a board meeting across the street from the bank.
Emergency personnel and police responded to reports of an active shooter situation near Fountain Square, today, in downtown Cincinnati.
Some didn't have to see the shooter to know something was wrong."We did hear a gun shooting from the 29th floor", a manager at the bank tells WXIX. It is unclear how he got to Fountain Square, but he entered multiple businesses before going to the bank, according to the police chief. "We're a bit rattled". Officers struck Perez multiple times, causing him to fall to the ground, Isaac said. "I will be eating lunch on Fountain Square tomorrow, mindful of the true character of Cincinnati". Police later swarmed an apartment in North Bend, Ohio, a village some 15 miles west of Cincinnati. "Avoid area of fountain square in downtown Cincinnati". It is home to retail stores, business offices, hotels and eateries.
Fifth Third Bank is one of Cincinnati's dominant financial institutions with 121 local branches.