Police were called to New Park Road at 8.50pm on September 8 following reports of a shooting.
The London Ambulance Service attended and treated two men, aged 20 and 27, with gunshot wounds.
They were taken to hospital, but despite the best efforts of medical staff, the 27-year-old died in the early hours of September 9.
His family have been informed and are being supported by specialist officers.
The 20-year-old’s injuries are not believed to be life-threatening or life-changing, and he remains in hospital.
Detective Chief Inspector Sarah Lee, who is leading the investigation, said: “My team are working at pace to establish the full circumstances that led to this man’s tragic death.
“Our thoughts remain with the victim’s family and friends at this very difficult time.
“They continue to be supported by specialist officers.”
She added: “A crime scene remains in place and residents can expect to see increased patrols in the local area as we carry out enquiries.
“We urge anyone in or around New Park Road to look at any doorbell or camera footage and share anything that may be of use with police.”
Anyone with information is asked to contact police by calling 101 or online, quoting CAD 7805/08Sep25.
Alternatively, you can contact the independent charity Crimestoppers anonymously on 0800 555 111 or by submitting an online form.