The riots began April 29, 1992, lasting for days, after the acquittal of several Los Angeles police officers who were charged in the beating of King, which was filmed by a bystander and was later sent to the local news.
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More than 60 people were killed and thousands were injured in the riots.
"I was at work on April 29, 1992. 64 people died that night, 64 people" Scott said. "Think about that. Stay at home."
In light the current protests and the new citywide curfew, Scott pleaded with San Franciscans Sunday to stay indoors.
RELATED: 7 key moments from 1992 LA riots
"Follow the mayor's lead, follow what we're asking you to do," he said.
The city curfew begins at 8 p.m. Sunday and continues through 5 a.m.
Almost three decades after the King riots, Americans now witness Floyd's death at the hands of a police officer, who is facing murder and manslaughter charges.
The altercation between Floyd and the police officer was filmed.
Video shows the officer kneeling on Floyd until he became motionless.
RELATED: SF Mayor Breed says curfew 'absolutely necessary' after vandalism during George Floyd protests
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Scott said he understands "the reason we're here."
"Too many African American men have been killed at the hands of law enforcement," the police chief said.
He said it's that reality that drives law enforcement to bring change.
"Part of what is driving us professionals in the law enforcement world is to change this narrative," Scott said.
He recognized that those protesting simply want to be heard.
"As an African American man, I think I know probably more than most how it feels. I know both sides of this equation," Scott said.
He reiterated, "City leaders hear you, your chief of police hears you."
RELATED: FULL INTERVIEW: Bill Scott discusses new job as SFPD chieF
Despite the violence and vandalism Saturday, he recognized that no lives were lost in San Francisco.
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"As bad as thing were here last night, it could've been a lot worse," he said.
Saturday's protest started peacefully at San Francisco's city hall and then escalated as the night went on.
The city saw significant damage to storefronts and assaults on officers, Mayor London Breed said Sunday.
"We don't want to see (this city) go up in flames," the police chief said.
Ten people were arrested on felony looting charges, Scott said, and others were detained after the protest.
Scott and other city officials are now asking that San Franciscans follow the curfew order and stay home.
Take a look at the latest stories and videos about the investigation into George Floyd's death in Minneapolis
VIDEO: Full press conference with Breed, Chief Scott
SF mayor says curfew 'absolutely necessary'