"We cannot allow Tutu to undermine decisions that are taken within constitutional structures of the ANC on the support to be given to Zuma," said Cosas president Kenny Motshegoa in a statement.
The students condemned Tutu's attacks on the ANC deputy president.
"His malicious statements to declare that comrade Zuma should withdraw from the race for presidency are illusions without significance or impact to sober South Africans."
He labelled Tutu an "empty populist who just utters statements to score minor political points, not caring whether they are disgraceful to his offices".
"We are now not sure of his mental status as it leaves much to taste. His public behaviour is reckless and he is a scandalous man who cannot impose his moral views."
Motshegoa said to label the support given to Zuma as one that is not principled is an insult by the archbishop.
"Howling voices like Tutu, which are not founded on principles cannot mislead us.
"Does Tutu think he is higher than the court that cleared Zuma, or
does he think he has a better moral base than others?"
Did you like this article? Share it with your favourite social network.