“Such an act of criminality does not only rob the families and their grandchildren of their beloved ones but demonstrates cowardness,” she said in a statement.
“This case should receive the highest attention by the criminal justice system.”
On Wednesday, the bodies of two elderly women were found in a house they shared in Lenasia extension 11.
Gauteng police spokesman Warrant Officer Kay Makhubela said a relative found the women, aged 70 and 75.
“One of the old ladies, who was full of blood, was found in the sitting room. The other was found dead in a bedroom,” he said at the time.
The motive for the killings was unknown and the weapon used had not yet been identified. Both women suffered head wounds, and one had strangulation bruises.
“We cannot rule out that there might have been rape, but that will be determined by the investigation,” Makhubela said.
Mazibuko urged people to contact police if they had information about the crime.