The man is hospitalized in serious but stable condition, DeGeorge said Friday.
Based on initial video, police issued a statement that said the man tripped and fell, DeGeorge said.
After more videos became available, police amended that statement, and Police Commissioner Byron Lockwood suspended the officers and opened an investigation, he said.
"The department moved swiftly" and "corrected" the information, DeGeorge said.
"This incident is wholly unjustified and utterly disgraceful," Gov. Andrew Cuomo said on Twitter. "Police Officers must enforce -- NOT ABUSE -- the law."
Mayor Byron Brown tweeted called the incident "disheartening" and said his thoughts were with the victim.