The suspect has been identified as Kori Ali Muhammad, 39, who police say shot a security guard multiple times at the Motel 6 at Blackstone and Ashlan.
Police said he yelled "Allahu Akbar," which means God is Great in Arabic and that he posted on Facebook saying he didn't like white people.
Fresno Police Chief Jerry Dyer said there was no clear link to terrorism.
In a press conference on Tuesday, Dyer said the police Shot spotter system registered 16 shots in four different locations. All rounds were fired in less than 1 minute.
While police were responding to the scene, a PG&E pickup truck pull up to Fresno Police headquarters on Fresno and M Street and notified police that his passenger had been shot near Mildreda and Franklin avenues. That passenger was killed.
Dyer said Muhammad then began to walk west on Mildreda Avenue towards Van Ness where he fired several rounds at that person in that area, but missed.
Muhammad continued on foot to Fulton Street where he allegedly shot and killed a white male.
At that point, police say he reloaded his revolver and walked south towards Catholic Charities where he opened fire on another white male. That person was also killed.
Dyer said a responding officer saw the suspect at Fulton and Divisadero Street where he was taken into custody.
Chief Dyer said there was no clear link to terrorism.
In all, three people were killed in the incident.
Fulton Street is closed at Divisadero Street as well as several other streets in the area.
The Fresno County Courthouse in Downtown Fresno is also on lockdown.
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