The League leaders, with nine points from three games, prevailed via strikes from Man of the Match Enocent Mkhabela, Bennett Chenene and Bradley Grobler after Bernard Parker opened the scoring at Lucas Moripe Stadium.
In a cagey affair, Chiefs came close 18 minutes in but Bafana Bafana winger Siphiwe Tshabalala's rasping left-footed shot was parried to safety by goalkeeper Ronwen Williams.
At the other end, former Moroka Swallows midfielder David Mathebula ballooned his long-range effort over 10 minutes later.
Soon after, Knowledge Musona earned his side a penalty when he fired the ball into the hand of Edwin Gyimah in the area.
Parker converted the spot-kick for his third goal of the season to put the Glamour Boys narrowly ahead at the recess.
The visitors threatened soon after the break, as Tshabalala's free-kick from the edge of the area was kept out by Williams.
United, however, replied with interest in the 55th minute, as Mkhabela thundered home a sublime touch by Mathebula following Thabo September's long ball from the back.
Amakhosi nearly hit back in the 63rd minute but Williams pulled off a miracle stop to foil Musona from two yards out after Parker did well to tee up his striker partner.
The hosts, though, took the lead in the 70th minute through Chenene, who tapped in on the rebound after Chiefs skipper Itumeleng Khune blocked a powerful strike from Thuso Phala.
Grobler extended the advantage three minutes later from the spot after Bafana defender Siboniso Gaxa unwittingly clipped the heel of Chenene in the area.
Stuart Baxter's men were unable to find a way back, resulting in their first League loss of the campaign.