Four officers involved were fired Tuesday, the police department said, and state and federal authorities are investigating the case.
That includes Officer Derek Chauvin, the man seen on video restraining Floyd with his knee, Chauvin's attorney Tom Kelly said.
The Police Officers Federation of Minneapolis said in a statement the officers were cooperating in the investigation and urged "now is not the time to rush to (judgment)" while the officers' actions are examined.
Two officers handled the man on the ground while another stood nearby with his eyes on the bystanders as traffic passed.
"They need to be charged with murder because what they did was murder," Brown told CNN.
The officers' firings are "definitely not enough justice for me and my family," she told "Good Morning America."
An undated photo of George Floyd, provided Wednesday to news media by Benjamin Crump, attorney for Floyd's family. »