The artwork has stimulated intense controversy about the stability between independence of concept and the right to pride.
Hundreds of ANC followers protested outside the collection on Thursday.
The artwork, The Spear, was defaced the other day. It will also be eliminated from the Goodman Gallery's web page.
Under the cope, the ANC has decided to fall its law suit strenuous that the collection eliminate the artwork from its display and the web page.
The red, dark-colored and yellow-colored oil artwork displaying Mr Zuma echoing Communist pictures of Lenin was taken down after it was protected in red and dark-colored colour.
On Wednesday, Southern region Africa's Town Press paper said it was eliminating the picture of the artwork from its web page following risks by the ANC.
In a combined information meeting, ANC spokesperson Fitzgibbons Mthembu said: "Maybe we should not have gone to through attorneys, we should have discussed immediately."
Goodman Gallery manager Liza Essers said: "I believe in the right to independence of concept and the Southern region Africa structure."
"Brett [Murray, the artist] is very saddened by the harm that the artwork has triggered," she said.
The judgment celebration said the artwork was "rude, raw and disrespectful" towards Chief executive Zuma and wants all pictures of the artwork on the internet and elsewhere taken down.
In an affidavit provided on the Town Press paper, Mr Zuma said: "The symbol represents me in a style that indicates I am a philanderer, a womaniser and one with no regard."
President Zuma, who has four spouses, has formerly charged regional media organizations 11 periods for attorney.
