Prominent civil rights lawyer Ben Crump told CNN that Mr Blake’s family had reached out to him for assistance.
In a tweet, he said Mr Blake’s three sons were in the car he was getting into when he was shot.
“They saw a cop shoot their father. They will be traumatized forever. We cannot let officers violate their duty to PROTECT us,” he wrote.
He said the shooting happened after Mr Blake tried to break up a fight.
Witnesses also told local news site Kenosha News that Mr Blake had tried to break up a fight between two women and that police had attempted to use a Taser on him prior to the shooting.
Clyde McLemore, a spokesman with a nearby chapter of Black Lives Matter, told reporters “the frustration is boiling to the top and we’re sick and tired”.
Black Lives Matter protests were held across the US and around the world after African-American man George Floyd was killed in police custody in Wisconsin’s neighbouring state of Minnesota in May.
A white police officer knelt on Mr Floyd’s neck for almost nine minutes before he died. The officer, Derek Chauvin, has been charged with murder.
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