The party's politburo came to the decision on Friday night, while also condemning his reshuffle and removal of Finance Minister Pravin Gordhan as reckless.
The party says it's outrageous that the worst performer in public continue to enjoy presidential protection.
The SACP says President Zuma's recklessness has provoked widespread concern and anger within the African National Congress (ANC) itself and across all sectors of society.
It goes on to say it's becoming increasingly clear that the country is being run not from the Union Buildings, but from the Gupta compound in Saxonwold.
The party says it believes the timing of the reshuffle is linked to a court case involving the Guptas and their need to regain banking facilities.
This move by the SACP could be hugely significant, as it could be the start of more pressure building on Zuma or the beginning of the end of the SACP within the tripartite alliance.
ANC MPS URGED TO JOIN A MOTION OF NO CONFIDENCE AGAINST ZUMA
Ahmad Kathrada Foundation director Neeshaan Baltan used the opportunity to call on the country’s civic organisations among others to build a new consensus which will seek to bring together South Africans, demanding accountability and ethical governance.
Balton says among other organisations and political parties, ANC MPs also have a voice in Parliament and they should use it.
“We call on all MPs to unite and support a motion of no confidence.”
Balton says ANC leadership in Parliament should insist that the house be reconvened immediately to debate a motion of no confidence.
At the same time, Balton calls on South Africans to make their views known.
“We call on the people of South Africa in their mass formations to take to the streets and make their views known.”
The briefing came on the one year anniversary of struggle stalwart Ahmed Kathrada’s letter to the president, in which he told the president to consider stepping down.
The icon’s memorial service will be held on Saturday afternoon at the city hall in Johannesburg.
(Edited by Zamangwane Shange)