"Madiba is stable and we are thankful that he is responding well to treatment and that he is much better," said he said.
Whilst visiting the former President on Thursday, Mr. Zuma also met members of Mandela's family who expressed their gratitude for the support they've received from South Africans and people all over the world.
This is Mr. Mandela's fourth hospital stay in two years.
His lungs are said to have been damaged while he worked in a quarry when serving 27 years in prison for sabotage.
While Mr Mandela is keen to return to his main home in his beloved rural village Qunu, doctors have urged him to remain in Johannesburg in order to be closer to medical facilities.
The former President is regarded by many as the father of the nation for leading the struggle against apartheid, serving as South Africa's first black president from 1994 to 1999.
The 94-year-old was admitted on 27 March for a recurring lung infection and continues to make a steady improvement in hospital.
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