"The arrest number is 83," Detective Kelly Ann Ort said.
Garner, who was an asthmatic, died from suffocation in July after being put in a chokehold by police officer Daniel Pantaleo. A bystander recorded a video of police arresting Garner, who sold untaxed cigarettes, and Pantaleo choking the man to death, as Garner cried out "I can't breathe, I can't breathe". The video went viral on the Internet.
NYPD Detective Ort did not provide any additional information on the ongoing or new protests that may take place in the New York City area.
"I can't even begin to speculate," she said.
The protests over the death of Eric Garner follows the last week's grand jury ruling in Ferguson not to charge white police officer Darren Wilson for the deadly shooting of the black teenager, Michael Brown, in August. The killing and grand jury verdict in Ferguson ignited massive protests around the United States and renewed the debate over police brutality and racial profiling in the country.