"The ANC continues to confirm its full confidence in our president," party secretary general Gwede Mantashe told journalists.
Whether or not Zuma should stand down "never arose" in the three-day meeting of the party of Nelson Mandela, which led the struggle to end apartheid.
The meeting discussed among other issues, the claims by senior party and government officials that the migrant Indian Gupta family was interfering with the running of the government.
These latest graft claims to hit the president erupted last week after deputy finance minister Mcebisi Jonas said he was offered the top job in the treasury by the Guptas.
Mantashe said the party held "frank and robust" discussions around the Guptas and that "appropriate action" would be taken.
He said the purported behaviour by the Guptas had "the potential to undermine and erode the credibility and confidence of our people in the leadership"
Some ANC party stalwarts have called for the veteran political survivor to retire before his term ends in 2019.
The latest to join the chorus of disillusionment over Zuma's style of governing were the foundations of ANC founding father Oliver Tambo and that of Mandela and Mandela's former prison mate Ahmed Kathrada.
"We believe we have reached a watershed moment," the foundations said in a letter urging the ANC top leadership "to make urgent choices, and to take urgent corrective actions in the best interest of South Africa and its peoples.
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