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Eyewitness News was criticised on Thursday for using a cartoon described as containing racial undertones and extremely distasteful.
The cartoon, titled "Congress of Clowns and the clowns who voted them in", was posted on EWN's website, and depicted newly appointed ministers as clowns with big red noses.
On the side was another group of clowns, which were the voters, all in dark shading standing and watching with a description reading "we the poephols".
The African National Congress said the cartoon contained racial undertones and insulted voters.
"We view this in a serious light given the resilience of racism in the South African discourse and the condescending attitude demonstrated by some elements in the media and society," spokesman Zizi Kodwa said in a statement.
"Such attitudes particularly from the media reinforce the view that some sections of the media misuse the freedom of expression to undermine gains made thus far."
The party called the cartoon appalling.
EWN on Thursday sent out a note saying it had read and heard its listeners' views and passed them on to the cartoonist.
"We at EWN apologise for any unintended offence caused. We at EWN will continue to strive for free speech and editorial independence," it said.
Makhombothi described the apology by EWN as "half-hearted".
The ruling party said it would picket outside the Prime Media offices in Sandton at 8am on Friday.
Sapa