The public viewing came two weeks to the day after Floyd's death was captured by an onlooker's video. As a white police officer knelt on his neck for nearly nine minutes, an unarmed and handcuffed Floyd, 46, lay face down on a Minneapolis street, gasping for air and groaning for help, before falling silent.
The case was reminiscent of the 2014 killing of another African American, Eric Garner, who died after being placed by police in a chokehold while under arrest in New York City.
The dying words of both men, "I can't breathe," have become a rallying cry in a global outpouring of rage, drawing crowds by the thousands to the streets despite health hazards from the coronavirus pandemic.
The demonstrations stretched into a third week on Monday.
"Even though it is a risk to come out here, I think it has been a very positive experience. You hear the stories, you feel the energy," Benedict Chiu, 24, told Reuters at an outdoor memorial service in Los Angeles.
"I'm here to protest the mistreatment of our black bodies. It's not going to stop unless we keep protesting," said Erica Corley, 34, one of hundreds attending a gathering in the Washington suburb of Silver Spring, Maryland.
As the public viewing unfolded in Houston, Derek Chauvin, 44, the police officer who knelt on Floyd's neck and is charged with second-degree murder, made his first court appearance in Minneapolis by video link. A judge ordered his bail raised from $1 million to $1.25 million.
Chauvin's co-defendants, three fellow officers accused of aiding and abetting Floyd's murder, were previously ordered held on $750,000 to $1 million bond each.
All four were dismissed from the police department the day after Floyd's death.
Unleashed amid pent-up anxiety and despair inflicted by a pandemic that has hit minority communities especially hard, the demonstrations have reinvigorated the Black Lives Matter movement and thrust demands for racial justice and police reforms to the top of America's political agenda ahead of the Nov. 3 presidential election.
Protests in a number of U.S. cities were initially punctuated by episodes of arson, looting and clashes with police, deepening a political crisis for President Donald Trump as he repeatedly threatened to order the military into the streets to help restore order.