NY state's Attorney General, Barbara Underwood, is looking for information about an apparent violent attack by extremist group The Proud Boys and will push for a "thorough investigation", she announced via Twitter on Friday night. "Hate can not and will not be tolerated in NY".
It was not clear whether the three arrested men were supporters or protesters of the Proud Boys, whose members have been accused of white supremacy and anti-Semitism.
A fight occurred between members of the far-right group the Proud Boys and protesters.
Police Commissioner James O'Neill said Saturday that video of the brawl is being reviewed to determine if additional arrests are warranted.
City Councilman Rory Lancman, also a Democrat, said video shows police officers were at the scene of an assault by Proud Boys members but did not arrest anyone from the group.
"This is an act of political violence done by cowards in the middle of the night", said New York Republican Party Chairman Ed Cox. The male-only Proud Boys describe themselves as "western chauvinists".
Videos of the fight have surfaced online showing individuals shouting homophobic slurs outside the event where Proud Boys founder Gavin McInnes was invited to speak.
In total, nine members of the "Proud Boys", a right-wing, men-only activist group founded by Gavin McInnes, now of CRTV, could face charges.
New York City Mayor Bill de Blasio called for members of the public to come forward with any relevant information about the incidents and vowed to clamp down on hate crimes.
Ahead of the speech, vandals smashed windows, filled a keypad lock with glue and spray-painted the doors of the Metropolitan Republican Club. A note was reportedly left saying the attack "is merely a beginning".