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.
A Russian attack on Ukraine's southern Odesa region killed two people and injured three overnight, Ukraine's emergency service and a government official said on Monday.
Former Philippine President Rodrigo Duterte was "pivotal" in the murder of thousands of people during his rule, prosecutors at the International Criminal Court (ICC) said on Monday, as they pushed for his trial to go ahead.
Children across parts of the US Northeast will stay home on Monday as a powerful winter storm forced school closures and pushed offices and transit systems onto emergency schedules, with officials across the region warning of dangerous travel conditions.
A passenger bus plunged 200 metres (650 feet) from a mountainous road in west Nepal before dawn on Monday, killing 19 people including three foreign nationals.
Human rights are under assault worldwide, the United Nations chief warned on Monday, citing widespread abuses of international law and devastating civilian suffering in conflicts in Sudan, Gaza and Ukraine.