A spokeswoman for Tallahassee Memorial Healthcare says none of the victims are in critical condition.
Police say there are multiple victims of the stabbing who were rushed to a hospital for treatment.
It was not immediately clear if the suspect is an employee, Tallahassee police spokesman Damon Miller said.
According to the Tallahassee Democrat, family members gathered at the scene Wednesday and described a terrifying incident with at least one victim who was at Dyke Industries for a job interview being stabbed as many as five times. It's not yet known if the alleged attacker is an employee at Dyke Industries.More news: Duchess of Sussex unveils fashion line for unemployed women
Brown tried to flee the building after the attack, said Steve Outlaw, the interim Tallahassee police chief.
Brown clocked in at 8 a.m. Wednesday.
Brown had worked at Dyke Industries about 3.5 months and didn't appear to have any pending employment issues, Outlaw said. His fellow employees armed themselves with what they could and held Brown at bay during the attack.
"You can't help but wonder, on the first flush when you hear that, is this related to the anniversary?"More news: Supreme Court allows broad enforcement of Trump asylum rule
"One patient is in serious condition; two patients are in fair condition; and two patients are in good condition", a statement from the hospital read.
Authorities are on the scene after multiple people were reportedly stabbed near Maryland Circle in Tallahassee, Fla., Sept. 11, 2019.
It provides residential and commercial building materials including interior and exterior doors, millwork, and windows.More news: Britain is not seeking N. Ireland-only backstop - PM Johnson's spokesman