The East African country declared an outbreak of Ebola on Sept. 20 and said infections were being caused by the Sudan strain. Uganda's health ministry has confirmed a total of 54 Ebola cases and 19 deaths.
Health minister Jane Ruth Aceng said the first case has been detected in the capital, Kampala.
"A sample confirmed that he had Ebola," Aceng told reporters.
A man from central Uganda had traveled to seek treatment at a hospital in the capital, but his condition deteriorated and he died on Oct. 7. A sample was obtained from his body before burial, which tested positive for Ebola, she said.
There have been worries the spread of infection in Uganda could be difficult to control because currently there is no vaccine for the Sudan strain. The epicenter of the infections is a cluster of five districts in central Uganda.
Tedros, in a virtual address to a meeting of Africa regional health officials in Kampala, said several vaccines were currently being developed that could deal with the Sudan strain.
Two of those vaccines "could be put in clinical trial in Uganda in the coming weeks pending regulatory and other approvals from the Ugandan government," he said. "Our primary focus now is to rapidly control and contain this outbreak to protect neighboring districts as well as neighboring countries."
Tedros did not provide details of the vaccines due for trial such as their names or which firms developed them.
Ebola, a hemorrhagic fever, mainly spreads through contact with the bodily fluids of an infected person. Symptoms of the viral disease include intense weakness, muscle pain, headaches and a sore throat, vomiting, diarrhea and rashes, among others.
Although it has no vaccine, the WHO has previously said the Sudan strain is less transmissible and has shown a lower fatality rate in previous outbreaks than Ebola Zaire.