The winner will be well placed to be the next president, but the ANC has lost much popularity since Nelson Mandela led it to power in the euphoric 1994 election that marked the end of white-minority rule.
Soaring unemployment and government corruption have fuelled frustration among millions of poor black South Africans who face dire housing, inadequate education and continuing racial inequality.
President Jacob Zuma, whose reign has been marred by graft scandals, will step down as ANC chief but remain as head of state ahead of general elections in 2019.
The battle could split the ANC and the conference looks set to be acrimonious.
ANC secretary general Gwede Mantashe said some delegates had been disqualified from voting after multiple legal disputes raged in courts for weeks before the meeting.
As rival delegates danced and sang songs in support of their chosen candidate, Mantashe said the start of the event had been delayed until 1200 GMT when Zuma would make the opening address.
Dlamini-Zuma, 68, headed the African Union commission until earlier this year and is a former interior, foreign affairs and health minister.
The couple had four children together before divorcing in 1998.
Ramaphosa, 65, a former trade union leader, led the historic negotiations in the 1990s to end apartheid before launching a business career that made him one of the country's wealthiest men.
He is often accused of failing to confront Zuma while serving as his deputy since 2014.
"There is so much at stake and the two candidates are very close in the race," Amanda Gouws, a politics professor at Stellenbosch University, told AFP.
"Zuma is very afraid of being prosecuted after he leaves office if Dlamini-Zuma doesn't win, so he is really trying to make sure she does," she said.
Dlamini-Zuma has strongly denied her campaign had been involved with vote-buying, saying "no leader will be proud of being elected out of money".
With tensions rising, Ramaphosa said the party "should rally behind whoever is elected".
Tefu Velaphi, a 38-year-old delegate and building manager, told AFP: "Zuma's legacy is disastrous. He only cares about himself and his friends. We want them to be arrested.
But Matthew Tsepang, one of her supporters, said: "We can not judge a person by her previous life. She can be a former wife but have her independence. She is a capable leader."
The ANC is still South Africa's biggest party by far, but the 54 per cent it won in local elections last year was its worst poll result since 1994 -- underlining its sharp recent decline in popularity.
Ramaphosa is widely seen as the stronger candidate to lead the party into the 2019 general election.
But if he loses the party leadership battle, some experts say the party could split.
Other leadership hopefuls include parliament speaker Baleka Mbete, presidency minister Jeff Radebe and Zweli Mkhize, the party treasurer.
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