The 30 would face charges of public violence, Captain Thulani Zwane said on Saturday.
On Saturday, the Economic Freedom Fighters and their leader, expelled African National Congress Youth League president Julius Malema, handed over a house built next to Zuma’s home to a woman and her grandchildren.
There was a massive police presence at the event.
When Malema arrived for the handover, ANC members blocked the progress of his car, forcing him to get out and walk to the house.
After he made it through the crowd, ANC supporters began throwing bottles of water and stones.
Later, the ANC supporters were on a nearby hill when EFF members emerged from their meeting and began singing.
Some of the ANC group began throwing stones at them and police intervened using truncheons, a water cannon, and teargas. Rubber bullets were fired and people ran and dived for cover.
Thirty ANC members were detained.