"The ANC has not and will not be party to a process that undermines unity within the labour federation," Mthembu said in a statement on Saturday.
"It is also utterly untrue that the processes underway within Cosatu – which the ANC is not aware of and is not party to – are furthering the agenda of the ANC and other allied organisations to remove comrade Zwelinzima Vavi as the general secretary of Cosatu."
He said the ANC would do anything to strengthen the unity within the labour federation.
Any divisions or factions – imagined or real – within Cosatu are not in the interest of the ANC and are not "enhancing the struggle of the workers" to achieve a better life, he said.
"The ANC remains unshaken by this and other accusations recently that sought to suggest that there are divisions between the ANC and Cosatu," Mthembu said.
"These allegations are meant to 'drag' the ANC into internal controversial matters within Cosatu."
Mthembu said the ANC respects Cosatu as an equal partner in the alliance and will not interfere with its "organisational challenges by taking any sides". – Sapa