Steve Stephens, who broadcast his crime, confessed to killing 13 people and will continue to kill. (Reuters)
The suspect, Steve Stephens, said in a separate video post that he had killed 13 people and was trying to kill more.
Cleveland Police Chief Calvin Williams has so far only ensure one person Stephens murder victims, but said they did not know anyone other victims.
Williams said that 'various teams' looking Stephens, who 'had to surrender.'
"No more bloodshed more in tonight's incident," the police chief said Calvin Williams in a press conference on Sunday.
"We must stop this today," he said, adding: "We have to take Steve out of the streets."
Williams said that the authorities have issued a warning in the state of Ohio and surrounding the incident 'beyond reason' and urged people not to approach the suspect, who is believed to still be armed and dangerous.
Cleveland police department issued photo Stephens on his site, and described as a black male with a height of 1.9 Metres.
He was allegedly driving a SUV (sports utility vehicle) white or beige.
Williams said the victim appeared to have been chosen at random in what is described as murder 'beyond common sense.'
He added that Stephens 'clearly has a problem' and urged him to come to 'accept the help that he needs.'
The FBI already involved and working with local police to investigate the incident, CNN reported.
Cleveland Mayor Frank Jackson, saying that he wanted to Stephens knows that 'she will eventually get caught.'
This is not the first time shooting the killer posted on Facebook Live. Last June, a man was shot dead during a live streaming video of himself on the streets of Chicago. In March, an unidentified man was shot 16 times during a live broadcast.
Features live streaming Facebook allows anyone to broadcast online in real time. This service was launched in 2010 and became widespread use as social networking strategy in recent months.