“Don’t snatch defeat from the jaws of victory," Cuomo urged protesters failing to social distance and wear PPE.
Cuomo said that 50,000 New Yorkers had been tested for the virus on Sunday and 1,000 tested positive.That day, 54 New Yorkers were killed by the virus.
New York City Mayor Bill de Blasio also urged protesters to express caution.
"For those who have already had their presence and made their voices heard, the safest thing to do is to stay home," de Blasio said.
Floyd's death came after tensions had already flared after two white men were arrested in May for the February shooting death of black jogger Ahmaud Arbery in Georgia, and the Louisville police shooting death of Breonna Taylor in her home in March.