The new measure increases the number of crimes prompting such gun confiscation.
The state already had laws in place banning people convicted of a felony or "a limited number of misdemeanor 'serious' offenses, excluding many misdemeanor offenses that are undeniably serious" from possessing firearms, according to a news release from the governor's office.
Nico Bocour, the state legislative director for gun violence prevention group Giffords, said they were "grateful" for the move.
"Women are five times more likely to die in domestic violence situations where a gun is present, so it is critical to see the elected officials of New York take the necessary steps to ensure the safety of victims and their families," Bocour said in a statement to ABC News.
"We hope more states take up similar laws and look forward to working with those who choose to do so," she said.
The new law in New York is not the first to take action in regard to domestic violence offenders in the wake of the Parkland school shooting in Florida in February. In early March, Oregon passed a law banning people convicted of stalking or domestic violence, or under a restraining order, from buying or owning guns or ammunition.
Beyond the bill expanding the list of crimes that would prompt firearms being removed from a person’s possession, Cuomo has also introduced legislation to extend the waiting period for purchasing a gun from three days to 10.
Specifically, the legislation would delay the approval of sales for people who are not instantly approved or denied through the National Instant Criminal Background Check System.