Police say the man is Ogarra Dixon, 24, from Brixton.
He was brought in to the hospital in Denmark Hill on at 00.48 am on Wednesday June 17 by three men who have not been identified.
Crimestoppers is offering a reward of up to £10,000 for information which leads to the arrest and conviction of the person, or persons, responsible for the murder
Police believe Dixon’s injuries were sustained from being shot, but are waiting for confirmation from the post-mortem.
Regan Hook, Regional Manager for Crimestoppers in London, said: “There are people out there who know who is responsible for this murder but may not be comfortable going to the police with information.
“I would urge those people to contact Crimestoppers anonymously. We don’t take personal details and we cannot trace information given on the phone or online. No one will ever know you called.
“Do the right thing and please tell us what you know. It is vital that whoever is responsible for this crime is brought to justice.”
Anyone with information is asked to contact police on 101 or call Crimestoppers on 0800 555 111.