Two police officers were injured responding to the home, where a fire also broke out, and the suspect is dead, reported CNN.

Police said the deceased persons were identified as an 11-year-old girl, 12-year-old boy, 44-year-old woman and man in his 30s.

They are believed to be members of the same family.

Police received a 911 call shortly after 5 a.m. from a young female caller, who said her cousin was killing her family members, New York City Police Department Chief Jeffrey Maddrey was quoted as saying by CNN.

The officers responded to a residential block in Queens, where they pulled into a driveway and saw a man walking out with luggage, the police chief was quoted as saying by the American news channel.

The man drew a kitchen steak knife on the officers, stabbing one in the neck and chest, and striking the other in the head, the chief added. One of the officers drew his weapon and fired, killing the suspect, Maddrey said.

Joseph Kenny, NYPD Chief of Detectives was quoted as saying by CNN that the suspect was identified as a 38-year-old Bronx resident.

Far Rockaway region is a neighbourhood in the eastern part of the Rockaway peninsula in the New York City borough of Queens.