The 21-year-old man was shot multiple times by officers, who responded to the first story of a two-family home on Shaler Avenue just after 9:30 p.m. Wednesday.
The man's mother had called 911, reporting her son was acting erratically.
When police from the nearby 104th Precinct got into the house, they were confronted by the man, who was holding a knife.
Officers ordered him to drop it, and when he refused and wildly waved the knife, they fired shots.
The man was struck several times and pronounced dead at the scene.
He still had the knife in his hand, and two other knives were found nearby.
As many as three officers fired shots. They were taken to Jamaica Medical Center for trauma.
Additionally, a sergeant sustained an injury to his hand.
The man who was shot lived in the house with his mother, who told police she had a valid order of protection against him.
Police filed several domestic incident reports after responding to the house on prior occasions.
In July, police were called to the house after the man threatened his mother with a knife.
The shot man also had prior arrests -- on November 11 and September 20 -- for menacing and assault.