Erick Mathoho and Lewis Macha scored the goals for the AmaKhosi, who might have had more in what was a dominant performance against their Soweto rivals.
The return of Oupa Manyisa, on his 28th birthday, after 10 months out of the game through injury was perhaps the biggest highlight for Bucs fans.
The opening 25 minutes failed to produce a goal with Chiefs seeing most of the ball but neither goalkeeper unduly tested.
Chiefs started to assert their presence just past the half-hour mark as Willard Katsande had a goal ruled out for a foul on Pirates goalkeeper Brighton Mhlongo.
Referee Zolile Mthetho ruled that Mhlongo had been fouled in an areal challenge with Lourenzo Gordinho, though replays showed it was perhaps a fair contest.
Pule Ekstein then had two chances within a few seconds to score after he was fed on the right by Bernard Parker. After missing his first kick, the ball fell kindly again but he could not bundle the ball past Mhlongo.
The teams went into the break locked at 0-0.
The dealock was finally broken on 58 minutes when Mathoho reacted quickest as Parker's shot rebounded off the crossbar and into his path. Pirates appealed for offside but replays showed he was on.
Chiefs continued to apply all the pressure with Parker particularly lively and he saw another thunderous drive this time fly over the bar.
Just before that Tsepo Masilela saw his effort come back off the post as Pirates battled to contain the AmaKhosi.
Pirates had a rare chance with 17 minutes remaining as Tendai Ndoro scuffed his shot from six-yards, allowing Itumeleng Khune to make a good low save.
Chiefs brought on last season's MultiChoice Diski Challenge top-scorer Emmanuel Letlotlo for the final 10 minutes, while Pirates introduced new signings Bernard Morrison and Riyaad Norodien.
Mothoho was having a stormer as Norodien crossed from the right after a great run and Morrison's shot was cleared off the line by 'Tower' with Khune beaten.
Chiefs introduced another of their new signings two minutes from the end when Zambia forward Macha replaced the lively Ekstein.
Morrison went down after bursting into the box in injury-time, but rightly was booked for simulation as replays showed there was no contact with the defender.
Macha made sure of the win four minutes into injury-time when he headed home after a fine cross from William Twala on the right.
Orlando Pirates: Brighton Mhlongo, Happy Jele (Ntsikelelo Nyauza 61'), Ayanda Gcaba (Gladwin Shitolo 72'), Edwin Gyimah, Thabo Matlaba, Mpho Makola, Issa Sarr (Luvoyo Memela 56’), Oupa Manyisa, Thabo Rakhale (Riyaad Norodien 76’), Tendai Ndoro, Thamsanqa Gabuza (Bernard Morrison 76’)
Kaizer Chiefs: Itumeleng Khune, Kgotso Moleko, Lorenzo Gordinho (Ramahlwe Mphahlele 54’), Eric Mathoho (Daniel Cardoso 85'), Tsepo Masilela (Sibusiso Khumalo 72'), Willard Katsande, George Maluleka, Pule Ekstein (Lewis Macha 88’), George Lebese (Emmanuel Letlotlo 79’), Bernard Parker, William Twala
Read more about Amakhosi goalscorer Lewis Macha in the current edition of KICK OFF magazine, on sale now, as well as an exclusive interview with Edmore Chirambadare! Download a digital copy