The ANC was hosting the event on the same day that thousands of opposition supporters marched on the Union Buildings, calling for President Zuma to resign.
The rally in the capital, Pretoria, which followed nationwide protests on Friday, comes amid sharp criticism of Zuma within the ruling African National Congress party, although the president still commands the support of powerful ANC factions.
Marchers will start converging at Church Square from 9am, with the march to the Union Buildings scheduled to start at noon and end at 4pm.
"[Late former president] Nelson Mandela once called the opposition Mickey Mouse parties because they attack the ANC... there was nothing wrong with Mandela or [former president Thabo] Mbeki - opposition parties attack leaders".
The protests against Zuma are uniting groups with sharply contrasting ideologies.
Economic Freedom Fighters leader Julius Malema also promised that they would roll marches in KwaZulu-Natal, which is the ANC's biggest province.
After his move, the South African rand tumbled and the country's bonds were downgraded to junk status.
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S&P and Fitch cited likely changes in economic policy after former finance minister Pravin Gordhan was sacked in the cabinet reshuffle, a move that has rattled markets and sparked opposition protests against Zuma. "We need change because Zuma doesn't care about the people of South Africa". Yet less than a week later, the party had closed ranks around Zuma and warned ANC parliamentarians not to vote with the opposition in a forthcoming motion of no confidence in the president.
Van Damme said the DA would continue to use all means available - petitions, parliamentary mechanisms and litigation, and would march along with all South Africans en masse across our country "until Zuma is gone".
Malema defended the decision by opposition parties to work together.
"Today we are going to march hand-in-hand with all political parties", he said, before telling the enthusiastic crowd, "We want you to send one message and one message only: that Zuma must step down".
ANC Secretary-General Gwede Mantashe said last week that no ANC member would vote against Zuma in the no-confidence vote.
But Zuma's presidency has been dogged by corruption scandals and has widened divisions in the party and heightened calls for his resignation. Zuma disputed her report, but the opposition embraced its findings, branding the president "Zupta" because of his alleged ties to the family.
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