The call came after leaders of the EFF lashed out against the commission, with Julius Malema describing the commission as a Mickey Mouse show.
Malema told supporters Justice Zondo was presiding over a commission that was stealing money from the poor.
Spokesperson for Active Citizen Movement, Yashica Padia said civil rights organisations under the banner of Future South Africa have come together to challenge Malema and others.
“There’re over 100 organisations under Future South Africa and we have met to discuss the matter. In the next week or so we will make an application to the commission,” she said.