The videos appeared to support the NYPD's claims that the man on Wednesday evening was repeatedly thrusting a metal object that looked like a gun into the faces of several people - including a woman holding the hand of her child.
Saheed Vassell's father told reporters that his son had previously worked as a welder.
New York City police have said that the officers fatally shot a man who was waving a metal object at passersby in Brooklyn.
The NYPD said Vassell, who migrated from Jamaica when he was six years old, had pointed the instrument at five police officers, who responded to the 911 calls, before he was shot dead.
A patrol supervisor from the local precinct and another SRG officer didn't fire weapons. "I just want everyone to know that I want justice for Saheed", she told the crowd.
"God forbid, someone is out there for whatever reason ready to use a weapon immediately, our officers have to intervene at the first available moment", Mr.de Blasio said. "We've got to recognize if they believe they are in immediate matter of life-and-death to the people in the surrounding area, that's an exceedingly hard, tense split-second decision that has to be made".
The four officers who fired a total of 10 rounds are of various races and ethnicities: one black, two white and one Indian or South Asian, officials said, adding that they averaged about six years in uniform. The city's medical examiner found he was hit seven to nine times, including one shot to the head.
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Protestors took to the streets for two nights, saying Vassell was a mentally disturbed man well-known to members of the community and that police should have known that and acted accordingly. Police said they thought he had a gun, but he was carrying only a cellphone. "It's very sad because it's a dude from around here and a lot of people love him and he don't mess with anybody".
"I'm afraid to have a son in this modern day because I feel like I can't protect him", said a Crown Heights resident. Vassell died in a hospital.
"Firearm job at, ah, Utica and Empire Boulevard, that's Utica and Empire Boulevard".
Community leaders called for action and demanded answers from the NYPD.
"The officers from the neighborhood, they know him".
"We consistently see, in rapes, when you look back in time for an entire year, we see 15 to 20 percent of the rapes reported to the NYPD did not occur in the year that they are reported", NYPD Crime Control Bureau Chief Demot Shea said.
The Attorney General's Office said in a statement Thursday that its Special Investigations and Prosecutions Unit "has opened an investigation into the shooting".