Mr Zuma's lawyer informed the High Court in the capital, Pretoria, of the decision, but the reasons are unclear.
Opposition groups are rallying in South Africa's major cities to demand Mr Zuma's resignation.
He has been dogged by corruption allegations for more than a decade, but has repeatedly denied any wrongdoing.
The report by former anti-corruption chief Thuli Madonsela is believed to contain damning allegations against him, reports the BBC's Milton Nkosi from Pretoria.