The African National Congress (ANC) he said, had a capable leadership structure - not only one leader like some other political parties.
"Leadership is not the issue in question," he told members of the presidential press corps in Pretoria.
"Please have no worries. In terms of leadership there is stability".
Recent media speculation about the possible appointment of three deputy presidents was unfounded, Zuma added.
Earlier this month, the Business Day newspaper reported on claims that Mbeki might appoint two additional deputy presidents after the April 14 election.
The names of Foreign Affairs Minister Nkosazana Dlamini-Zuma and Defence Minister Mosiuoa Lekota were mentioned.
Their appointments would be aimed at preventing infighting over who would succeed Mbeki, the paper said. This has been dismissed by the presidency and the African National Congress.
Zuma yesterday also brushed aside speculation on Mbeki seeking a third presidential term.
"No matter how people speculate about the ANC, it is different from other organisations. It has its own traditions, and nothing can be done outside of that," he said.
One such tradition was for ANC structures to elect presidential candidates. This was not determined by individuals themselves, Zuma said.
He hailed Mbeki's leadership qualities, saying the president was regularly consulted by leaders around the world on a variety of issues. – Sapa.
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