Correctional Services spokesman Manelisi Wolela has denied allegations that student leader Mcebo Dla.
The ANC and the party's youth league have lambasted Deputy Chief Justice Dikgang Moseneke for "undermining" its members.
Moseneke was quoted in the Sunday Times as saying: "I chose this job very carefully. I have another 10 to 12 years on the bench and I want to use my energy to help create an equal society. It's not what the ANC wants or what the delegates want; it is about what is good for our people."
In a statement after its first NWC meeting on Monday, the ANC expressed shock at the "chorus from opposition parties and Moseneke's remarks which he reportedly made at his 60th birthday party in Durban at the weekend.
"His reported comment shows disdain for the delegates to the ANC national conference, and highlights the difficulty that many within the judiciary appear to have in shedding their historical leanings and political orientation," said the ANC.
It said, among other things, the NWC discussed transformation and the need to restore the integrity of law enforcement units and the criminal justice system.
ANC Youth League spokesman Zizi Kodwa also criticised Moseneke and called on him to apologise for his remarks.
"This confirms our long held view that comrade Jacob Zuma can and will never get a fair trial, worst when a judge of the highest court in the land discusses such matters in a party.
"Judges must be above reproach and must refuse manipulation even if it's a perception. Our judiciary faces credibility crises and we need to restore the confidence of the public in the justice system," said Kodwa.
He said Moseneke's comments have put the name of the judiciary into disrepute and "once more have raised questions about the independency and objectivity of the judiciary".
Meanwhile, the ANC NWC offered to meet Sadtu and Cosas and engage other teacher unions to discuss ways of making quality education accessible to all schools.
"It strengthens suspicions that those who occupied positions in agencies of the former apartheid government can act with impunity while the offensive against cadres of the democratic movement is intensified," the ANC said.
But Democratic Alliance attacked both the ANC and the league for criticising Moseneke, saying the ANC is putting its interests before the Constitution and the people.
"The judiciary is steadfastly resisting pressure from the ANC to be 'transformed' into an organ of the ruling party," DA spokesman Motlatjo Thetjeng said yesterday.