Curfews have been ordered in cities across the US to try to stem unrest sparked by the death of a black man in police custody.
But they have been defied in many areas, with shops looted, cars burned and buildings attacked. Riot police have used tear gas and rubber bullets.
President Donald Trump urged "healing" over the death of George Floyd but said he could not allow mobs to dominate.
The Floyd case has reignited US anger over police killings of black Americans. It follows the high-profile cases of Michael Brown in Ferguson, Eric Garner in New York and others that have driven the Black Lives Matter movement.
But for many it also reflects years of frustration over socioeconomic inequality and segregation, not least in Minneapolis itself, reports BBC.
What's the latest on the protests?
Huge demonstrations have taken place in at least 30 cities across the US. They were largely peaceful on Saturday, but violence flared later in the day.
One of the cities worst affected by unrest is Los Angeles. California Governor Gavin Newsom declared a state of emergency in the city and activated the National Guard - the reserve military force that can be called on to intervene in domestic emergencies.
The entire city is under a 20:00 to 05:30 curfew. Numerous shops have been looted, including on the famous retail avenues, Melrose and Fairfax, while overhead footage showed fires burning. Earlier police fired rubber bullets and hit protesters with batons. Hundreds of arrests have been made.
Mayor Eric Garcetti said this was "the heaviest moment I've experienced" since the riots in 1992 that were sparked by the acquittal of police over the beating of Rodney King.
Police are deployed as a fire burns in Los Angeles, which is under curfew.
In New York, some 20 police cars were burned and dozens of arrests made. Video also showed a police car driving into a crowd of protesters. Mayor Bill de Blasio said the situation was not started by the officers, but Congress Representative Alexandria Ocasio-Cortez said his comments were unacceptable and he should not be making excuses for the officers.
Chicago Mayor Lori Lightfoot imposed a 21:00 to 06:00 curfew until further notice, saying she was "disgusted" by the violence.
"I've seen protesters hurl projectiles at our police department... bottles of water, urine and Lord knows what else," she said.
In Atlanta, protesters remained on the streets after the curfew began, damaging property and vehicles. Dozens of arrests were made.
A firework explodes near a police line during a protest in Atlanta Minneapolis, where George Floyd died, has seen less violence overnight. Some 700 National Guard officers are aiding police and they acted quickly to enforce the curfew imposed there. The Star Tribune said the action had so far headed off the unrest of the previous night.
For the second day running, a large crowd of protesters taunted National Guard officers outside the White House in Washington, DC.
Indianapolis was one of the cities that had seen peaceful protests during the day turn violent later. At least one shooting death has occurred, but police said no officers had discharged weapons.
In under-curfew Philadelphia, 13 police officers were hurt and at least 35 arrests made as stores were looted, police cars torched and buildings defaced.
Overnight curfews have also been declared in Miami, Portland and Louisville, among other cities, although many were simply ignored.
San Francisco is the latest to impose a curfew, announced by Mayor London Breed for 20:00 local time on Sunday, after looting and violence.
But amid the violence there were also moments of solidarity. In Flint, Michigan, Sheriff Chris Swanson took off the riot helmets of his men, laid down batons and asked protesters what they wanted. After hugs and high fives, they chanted "walk with us" and the sheriff did.