The mayor also criticized some of Gov. Andrew Cuomo's budget plans.
The church now offers 10 beds for the local homeless population.
A 41-year-old homeless man died in McGolrick Park earlier this month, police said.
Police have been called to Fort Greene Park five times in the past five months, records show.
One ambitious non-profit aims to feed every hungry New Yorker on World Food Day.
The small park is located along East Burnside Avenue between Grand Concourse and Creston Avenue.
The five families stayed overnight on Monday, according to the Department of Homeless Services.
Residents say fights and crime occur regularly at the 200-bed shelter in Downtown Brooklyn.
The city homeless services failed to properly monitor the agency that ran the building, an audit found.
Sean Henry, who is 36, said his experiences as a homeless teen put him in a unique position to serve.
Gonzalo Duran hopes to turn the house into a place where returning veterans can stay.
Locals want to honor Richard Coleman with a donation to an organization that fights homelessness.
Commissioner Bratton said his office was just beginning to talk about the plan with the city council.
Attacks and other incidents have sent police there at least nine times this year, records show.
"Becoming Visible" is about youth struggling in New York City.
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