The briefing would be held at the Goodman Gallery, in Jan Smuts Avenue, Rosebank, where the artwork was initially shown, it said in a statement on Tuesday night.
"Both ANC spokesperson Jackson Mthembu and Goodman Gallery director Liza Essers will be present at the event," the gallery said.
On Tuesday, ANC supporters marched to the gallery to express their disgust of the painting. A memorandum was handed to the gallery's management.
SA Communist Party leader Blade Nzimande was insisting that the painting not be surrendered to the German who bought it for R136 000.
The painting The Spear by artist Brett Murray was part of his Hail to the Thief II exhibition. It has since been defaced and removed from the gallery.
An image of the painting has been removed from City Press’ website.