Violence erupted for a seventh night across several parts of the US, just hours after President Donald Trump vowed to use military personnel to halt the protests.
"Mayors and governors must establish an overwhelming law enforcement presence until the violence has been quelled," Trump said.
"If a city or state refuses to take the actions that are necessary to defend the life and property of their residents, then I will deploy the United States military and quickly solve the problem for them."
Following his address, he walked from the White House to nearby St. John's Episcopal Church amid tight security to pose for pictures with his daughter Ivanka.
However, a few hours later, thousands of people marched through the streets of Brooklyn, shouting "justice now!", while demonstrators in Los Angeles and New York City clashed with riot police.
George Floyd, a 46-year-old African-American, was killed minutes after a policeman pinned his neck under a knee for nearly nine minutes.
Pakistani airstrikes killed at least three people in Afghanistan on Monday, Afghan officials said, in action that could reignite tensions between the neighbours after nearly three months of relative calm.
Flights at several British airports were delayed on Monday due to an air traffic control failure, Britain's NATS air traffic control provider said, less than two weeks after a separate issue halted flights across the country.
A fire that broke out at a textile factory in the Chinese city of Foshan in southern Guangdong province on Sunday has killed eight people and injured one, state news agency Xinhua said on Monday.
A powerful typhoon was approaching Japan's Pacific coast on Monday, bringing torrential rain, violent winds, and a heightened risk of landslides across the Kanto region and other parts of eastern Japan, the weather agency said.
Australia will bid to join the United Nations Security Council from 2029, Prime Minister Anthony Albanese said on Sunday, as he launched a campaign to secure one of the two non-permanent seats available to its bloc.