It comes after officers were called to Tiverton Road at 4.55am on January 13 with reports of a fight.
Paramedics from the London Ambulance Service were also dispatched with London’s Air Ambulance, known for only treating the city’s most seriously ill patients.
The 36-year-old victim, who has been named as Gregory Castillo Volquez, was treated for stab wounds but died at the scene.
The 36-year-old Dominican Republic national was a father-of-two.
His family are being supported by specialist officers, with a post-mortem examination due to take place on January 16.
Four people, including three men and a woman, have been arrested on suspicion of murder.
Det Insp Jim Barry said: “In the early hours of Monday morning, two children tragically lost their father. Our officers acted swiftly and arrested three men and one woman on suspicion of murder. They remain in custody.
“We recognise this is a worrying time for those in Haringey and residents can expect to see more police in the area while we conduct our enquiries.
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“If anyone saw this senseless attack, or was nearby, please come forward and speak to our officers. We are particularly interested in any mobile phone footage from around the surrounding area.
“Our thoughts remain with Gregory‘s family, who are being supported by trained officers at this heart-breaking time.”
Specialist Crime officers urge the public to contact 101 or Crimestoppers 0800 555 111 with any information, quoting 809/13JAN.