Trudie Vosloo, Dr Vosloo's sister-in-law offered to be the surrogate mother, and after in vitro fertilisation gave birth to Dr Vosloo and her husband Dr Anton Ferreira's two baby daughters.
Lila and Nina together weighed just over 3 kg and are at present in the intensive care unit of the Kingsbury hospital in Claremont, Cape Town.
Dr Vosloo said on Sunday that she never imagined she'd become a mother.
"I've never been so happy in all my life," she said.
On Sunday she refused all access to the two little girls as she feared infection, however, she promised that she would "show them to all the world", in ten days' time.
Dr Vosloo, who moved into the hospital to be with her daughters for feeding times, presented a lecture at a medical conference on Sunday.
Her husband, an anaesthetist, regularly helps out with bathing and feeding, Sophie Vosloo said.
Trudie Vosloo, a Johannesburg accountant and the mother of two sons reportedly last year offered to act as surrogate mother for Dr Vosloo after Vosloo repeatedly failed to become pregnant. She was recovering following a Caesarian section at Dr Vosloo's home on Sunday.