The Fiji Broadcasting Corporation reported a 70-year-old man was found floating in the Sabeto River yesterday morning.
Meanwhile, a 19-year-old girl was reported missing after being washed away by strong currents in the river on Fiji's main island, Viti Levu.
Numerous roads have been closed and people living in temporary shelter have been told to seek safety elsewhere in a nearby evacuation centre.
People throughout the country were still picking up the pieces left behind from Cyclone Winston lashing the country just a few weeks ago, when the government issued a fresh storm alert.
Warnings have gone out for the central Lau and Lomaiviti island groups to prepare for damaging winds and flooding as Zena tracks towards the disaster-ravaged Pacific Island nation.
The latest alert says the Category 1 cyclone was 900km to the north west of Nadi earlier today, intensifying as it approached. The cyclone was expected to be 150km south-southeast of Nadi at 3am tomorrow.
At the moment, average wind speeds at Zena's centre were 85kmh with gusts of 120kmh.
A gale warning was in force for Viti Levu, Kadavu and Mamanuca group with strong winds expected across the rest of Fiji.
All schools in the country have been closed until further notice.
Fiji's education minister Doctor Mahendra Reddy says further announcements would be made when the cyclone had passed Fiji.
Meanwhile, adding to the list of woes is Fiji being added to the Zika Virus Travel Warning list.
The Centre for Disease Control yesterday added the Pacific Island nation to its list of countries affected by the disease.
Transmitted by mosquitoes, the virus manifests similar to the flu, but there've been concerns that pregnant women could transmit the disease to their unborn babies, with serious consequences.
New Zealand Ministry of Foreign Affairs and Travel has not advised against travel to the area, but encouraged travellers with imminent plans to check with their tourism providers. Air New Zealand has cancelled today's return service to Fiji as Cyclone Zena draws closer.
