The EFF accused the ANC of organising a group to assault its MPs in Parliament on Wednesday.
"The Economic Freedom Fighters has learned that the ANC is mobilising hooligans in the townships of Cape Town to come and assault EFF MPs today in Parliament," party spokesperson Mbuyiseni Ndlozi said.
"The EFF has learned that they are loud-hailing across the townships, promising people free buses to go to Parliament and deal with the EFF."
Ndlozi said this was a "clear plan" to disrupt Parliament and render its work dysfunctional.
"It means the ANC is planning to undermine the very Parliament that it claims to protect and respect."
Moloto Mothapo, spokesperson for ANC chief whip Stone Sizani, rubbished the claim and said the EFF had lost its mind.
"It’s becoming clearer and clearer everyday that they are losing it. They are obviously imagining things, and this is a figment of their imagination," he told Sapa.
"Probably it is some sort of propaganda gone wrong on their part. They really have to come with something better if they want to be taken seriously. We have got no time to waste on the EFF."
A war of words between the EFF and the security cluster of ministers heated up on Tuesday following a meeting over the chaos in Parliament last week.
The justice, crime prevention, and security cluster condemned the action of EFF MPs who disrupted proceedings in the National Assembly last week while President Jacob Zuma was answering questions. Police were called in to calm the situation.
The cluster, led by Defence Minister Nosiviwe Mapisa-Nqakula, said extra-ordinary measures had been put in place to prevent a repeat of the incident.
Last Thursday, EFF leader Julius Malema was not happy with how Zuma had answered questions on when he would pay back part of the money spent on R246m security upgrades to his private Nkandla residence in KwaZulu-Natal.
Speaker Baleka Mbete instructed Malema and his fellow MPs to leave the House when they kept interrupting and asking that Zuma answer their question.
Public Protector Thuli Madonsela had recommended in her report on Nkandla that Zuma repay that part of the money not spent on security measures, like the swimming pool and cattle kraal, among others.
Zuma has been accused of delaying his response in Parliament to Madonsela’s report after he said he would leave it to Police Minister Nathi Nhleko to determine if he should repay any of the money.