President Jacob Zuma will attend a service in a Methodist church in Johannesburg, with other multi-faith services planned throughout the day.
A national memorial service will be held on Tuesday, ahead of a state funeral on December 15.
South Africans have been holding vigils since Nelson Mandela died on Thursday at the age of 95.
Jacob Zuma urged South Africans to go to stadiums, halls, churches, and other places of worship on Sunday to remember their former leader.
Nelson Mandela’s successor as president, Thabo Mbeki, will attend a service at the Oxford Shul synagogue in Johannesburg in the afternoon.
Other senior politicians and ANC officials will go to services across the city, and the country.
Nelson Mandela’s body will lie in state on Wednesday, Thursday and Friday at the heart of the South African government in Pretoria.
Members of the public have been encouraged to line the route and form a “guard of honor” when his remains are taken to the site.
A funeral cortege bearing his body is to travel through the streets of Pretoria for three consecutive days before his burial next Sunday.
On Saturday it was announced that President Barack Obama and First Lady Michelle Obama will attend Tuesday’s memorial service, along with three other former US presidents, George W. Bush, Bill Clinton and Jimmy Carter.
One government minister has predicted the 95,000-seat stadium being used for the event will be overwhelmed, and promised that overflow areas would be set up.
On Saturday Nelson Mandela’s family gave their first public statement since his death, describing the difficulty of the past two days and the week ahead.
Family spokesman Lt Gen Matanzima likened Nelson Mandela to a baobab tree that had provided shade and protection to his family.
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