"It is an important milestone, and we're going to keep pushing to do more," Cuomo told a news conference on Tuesday, adding that the state would continue to encourage more New Yorkers to get vaccinated.
Restrictions across commercial and social settings will be lifted immediately. Cuomo said some limitations based on guidelines from the US Centers for Disease Control and Prevention would remain in place, with mitigation measures still required in public transit and healthcare settings.
Industry-specific restrictions, which had been in effect before Tuesday, included capacity limits of 50% for retailers, 33% for gyms and the lesser of 33% or 100 people for movie theaters.
Businesses will no longer need to require vaccinated people to wear masks and maintain 2 metres of distance.
Unvaccinated residents must still wear masks and maintain distancing in public, and may need to show proof of a recent negative coronavirus test to gain entrance to some event venues, the governor's office said.
Cuomo, whose state was the epicenter of the US Covid-19 public health crisis last year, also said individuals and businesses could still choose to adopt some precautions.
The governor, who won praise in the early days of the pandemic for his televised news conferences but later became entangled in accusations of sexual misconduct, abuse of power and allegations of mishandling nursing homes during the crisis, made a triumphant entrance at the World Trade Center in New York City on Tuesday to mark what he called a "momentous day."
"New York State has fully vaccinated a larger share of adults than any other big state in the country," he told a cheering crowd that included first responders and hospitality workers.
On Tuesday night, fireworks all across the state will celebrate the milestone, Cuomo announced, and the Empire State Building and other state landmarks will be lit in blue and gold, New York's colours.
Most US states have moved to ease or lift coronavirus restrictions as the virus abates and vaccinations progress.
New York joined California, where restrictions including physical distancing, mask requirements and capacity limits for restaurants, stores and other businesses that cater to consumers ended on Tuesday.
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"Businesses will no longer need to require vaccinated people to wear masks and maintain 2 metres of distance.
Unvaccinated residents must still wear masks and maintain distancing in public, and may need to show proof of a recent negative coronavirus test to gain entrance to some event venues" so what he is doing is effectively creating a two class system, vax good, no vax bad.