Spokesman Captain Thulani Zwane said a 33-year old man and a woman were shot in Jabula Road in KwaMashu. Both were rushed to the nearby clinic where the man succumbed to his wounds.
Zwane said the woman was recovering in hospital.
Less than an hour later a 24-year-old man was shot dead in the same road at a different location.
Zwane said that in both attacks nothing was taking from the victims.
He said the motive for the shootings had yet to be determined, but robbery was ruled out.
Jabula Road is one of the main roads that runs through Durban’s troubled Ward 39 where there have been numerous killings and attacks ever since the National Freedom Party split from the Inkatha Freedom Party in 2011.
The ward was won by an IFP councillor in a by-election last week that was preceded by a number of shootings.
Both IFP and NFP members have died with at least two people from each party being killed in the run-up to the latest by-election.