“The impact of this fire is going to bring a level of pain and despair to our city,” Mr Adams told reporters. “The numbers are horrific.”
New York Governor Kathy Hochul called Sunday’s events “a night of tragedy”, and pledged to create a victims’ compensation fund to support survivors.
“There will be money to find new housing, burial costs and whatever we need because that’s what we do here in New York,” Ms Hochul said.
The area of the Bronx where the fire occurred is home to a large Muslim immigrant population and many of those affected by the blaze are believed to have originally come to the US from the Gambia.
Mr Adams urged anyone impacted by the fire to seek assistance from the authorities, irrespective of immigration status. He assured residents that their details would not be passed on to immigration services.
Speaking alongside Mr Adams, New York Senator Chuck Schumer pledged to provide immigration support to allow families to come together to grieve.
The building hosts a number of affordable housing apartments and the blaze is likely to raise questions over the quality of such units in the city.
Representative Ritchie Torres, a Democratic lawmaker whose district includes the building, told the US network MSNBC that developments such as the Bronx fire pose safety risks to residents.
“When we allow our affordable housing developments to be plagued by decades of disinvestment, we are putting lives at risk,” Mr Torres said.