0700 GMT January 16, 2022
About 1,500 marchers in Minneapolis listened to speeches and joined members of the Floyd family and relatives of other Black people on Sunday who were killed by the police, AFP reported.
Floyd, 46, was killed on May 25, 2020 by city police officer, Derek Chauvin, who kneeled on his neck for more than nine minutes.
Chauvin, convicted by a jury of murder and manslaughter, is to be sentenced on June 25.
The rally opened with speeches outside the Hennepin County Government Center in central Minneapolis, where Chauvin stood trial.
"It has been a long year. It has been a painful year. It has been very frustrating for me and my family," Floyd's sister Bridgett Floyd told the gathering.
Floyd said that her life changed "within a blink of an eye" when her brother died.
"I will stand and be the voice for him," she said. "I will stand and be the change for him."
Floyd's death sparked protests against racial injustice across the United States and around the world.
Veteran campaigner Reverend Al Sharpton told the crowd that Floyd's killing was "one of the greatest disgraces in American history".
"What happened to George Floyd, as well as so many others, is driving change not only across America but the world," he said.
"They thought that they could get away with it, and you went to the streets, black and white, young and old, in the middle of the pandemic" to call for justice, Sharpton said.
"It's important to show up to represent the Floyd family and the injustices that continue to spread in society," said Lenora McFarthing, 67, of St. Paul, Minnesota, a retired director from AT&T Wireless.
"You can't just sit home and watch TV and tweet and go on social media," she said. "You have to be visible. People are hopeful for change."
Frustrations have been running high in Minneapolis over mounting violence in the city.
Anger over a soaring homicide rate and other gun violence – a recent three-week span saw three children hit by stray bullets – has led to the formation of citizen patrols.