At least 10 South Africans died in the plane crash that killed 103 people near the Libyan capital Tripoli, broadcaster Talk Radio 702 reported on Thursday.
The private radio station said Libyan officials were still trying to identify 18 people from the Libyan airliner's passenger list whose nationalities were unknown.
Authorities have not yet released the death toll of South African victims from Wednesday's crash.
Bree O'Mara, author of the award-winning novel Home Affairs, was among the South Africans killed when the Afriqiyah Airways plane disintegrated just shy of the runway, the Star newspaper reported Thursday.
She was reportedly on her way to London to sign a second book deal.
The brother of parliament member Anchen Dreyer also died in the crash, Dreyer's opposition Democratic Alliance party said in a statement.
The Airbus A330, which left from Johannesburg, had 104 people on board when it crashed Wednesday around 6:00 am.