0832 GMT June 22, 2018
The power struggle over Zuma's departure put the president at loggerheads with Cyril Ramaphosa, his expected successor, who is the new head of the African National Congress, AFP reported.
The party's powerful 107-member national executive committee (NEC) met for 13 hours at a hotel outside Pretoria, and decided in the early hours of Tuesday to "recall" Zuma from his post.
Ramaphosa and Ace Magashule, the party's secretary general, had personally delivered a request for Zuma to resign to the president's official residence in Pretoria at about midnight.
But Zuma "was very arrogant. He told them he was not going anywhere as he did nothing wrong," an unnamed ANC committee member told the Mail and Guardian newspaper.
"He told them if the ANC issued a statement on its decision to recall him, he will retaliate."
Another committee member told AFP that Zuma's response was "hogwash" and that the president had asked for three more months in office.
"We just felt he meant three months of looting," the source said, speaking on condition of anonymity as he confirmed that the meeting had demanded Zuma's resignation.
The ANC – which was once led by anti-apartheid struggle leader Nelson Mandela – reportedly gave Zuma 48 hours to step down.
The ANC can "recall" the head of state, essentially forcing him to resign, but the process is a party-level instruction and he is under no constitutional obligation to obey.
If he refuses, Zuma would then likely be ousted via a parliamentary vote of no-confidence within days.
Ramaphosa, the de facto president-in-waiting, has been in deadlocked negotiations with Zuma, who first dismissed a request from party leaders to resign more than a week ago.
The stalemate has plunged South Africa – Africa's most developed economy – into uncertainty over who is running the country, with a series of public events cancelled last week including the annual State of the Nation address to parliament.
"We know you want this matter to be finalized," Ramaphosa, 65, told a party rally in Cape Town on Sunday to loud cheers.
"We know you want closure... Because our people want this matter to be finalized, the NEC will be doing precisely that."
South African opposition parties have called for early elections as the ANC's leadership battle grinds on.
An opposition request for a no-confidence vote against Zuma, 75, this week was still being considered by the parliamentary Speaker.