20 ministers came from the ANC, six from the Democratic Alliance (DA), two from the Inkatha Freedom Party and one each from the GOOD, Freedom Front Plus, Patriotic Alliance and Pan Africanist Congress of Azania parties.
Ramaphosa's African National Congress was forced to join forces with rival parties to stay in power after losing its majority for the first time in three decades in a May 29 election.
Even if agreement is reached on the Cabinet, the ideological differences between the ANC and DA could hinder policymaking down the road, analysts say.
A DA spokesperson said the party would communicate officially when negotiations were finalised.
Ramaphosa's African National Congress will be sharing power with five other parties after it was humbled in a May 29 election, losing its parliamentary majority for the first time in 30 years of democracy.
The ANC still has to work out how to divide up the top cabinet jobs and overcome ideological differences with its new partners.
Once unthinkable, the accord allowed President Cyril Ramaphosa to win a second term in office. He was re-elected by lawmakers with 283 votes.
The SABC report came as the newly elected parliament was convening for the first time and lawmakers were in the process of being sworn in.
The ANC remains the biggest party, but the lack of an outright majority means it must now share power, and President Cyril Ramaphosa says its leaders decided that a broad collaboration was the best way forward.
The electoral math has created a complex situation for the ANC, which will have 159 of the 400 seats in the new National Assembly.
The ANC's potential partners are diametrically opposed, ranging from the free-marketeer Democratic Alliance (DA) to uMkhonto we Sizwe (MK) and the Economic Freedom Fighters (EFF).
The ANC has lost its outright majority in parliament for the first time since it came to power after apartheid. In the previous election in 2019, the party won 230 seats.
For the first time in South Africa's democratic era, the African National Congress (ANC) will have to seek one or more coalition partners to govern with after it fell well short of a majority in last week's national election.
The party's poor showing has fuelled speculation that Ramaphosa's days might be numbered, either due to the demands of a prospective coalition partner or as a result of an internal leadership challenge.
The ANC has won every previous national election since the historic 1994 vote that ended white minority rule, but over the last decade, its support has slid as South Africans have watched the economy stagnate.
The party and country will now have to enter a period of coalition building unprecedented in the democratic era, with potential partners ranging from the pro-business Democratic Alliance to insurgent parties led by former ANC figures who fell out with the party.
Some political analysts say this could lead to party leader and South Africa's President Cyril Ramaphosa having to step down.
The observation mission led by former Kenyan President Uhuru Kenyatta found that the overall procedure was open and inclusive.
If the party loses its majority, some political analysts say 71-year-old Ramaphosa will be unlikely to see out a second term.
Zuma, who was forced to quit as president in 2018, has fallen out with the governing African National Congress (ANC) and has been campaigning for a new party called uMkhonto we Sizwe (MK) named after the ANC's formed armed wing.