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.
Iran could be producing enriched uranium in a few months, the head of the UN nuclear watchdog Rafael Grossi was quoted as saying on Sunday, raising doubts about how effective US strikes to destroy Tehran's nuclear programme have been.
The Jerusalem District Court has cancelled this week's hearings in Prime Minister Benjamin Netanyahu's long-running corruption trial, accepting a request the Israeli leader made citing classified diplomatic and security grounds.
The Israeli military ordered Palestinians to evacuate areas in northern Gaza on Sunday before intensified fighting against Hamas, as US President Donald Trump called for an end to the war amid renewed efforts to broker a ceasefire.
Russia used hundreds of drones, cruise and ballistic missiles to attack western, southern and central Ukraine overnight, damaging homes and infrastructure and injuring at least six people, local authorities said on Sunday.
At least seven Palestinians were killed and several others injured early Sunday in a series of Israeli airstrikes targeting Gaza City and Khan Younis in the southern Gaza Strip, Palestinian News & Information Agency (WAFA) reported.