The match showcased contrasting styles, with AmaZulu dominating possession but Galaxy proving lethal on the counter, securing three vital points to climb to third in the league standings.
The first half burst into life early, as AmaZulu's Tshepang Moremi fired just over the bar in the opening minute, assisted by the lively Elmo Kambindu.
Galaxy responded with intent, Dzenan Zajmovic testing AmaZulu goalkeeper Veli Mothwa in the 12th minute, only to be denied by a sharp save.
Moments later, Kambindu came close for the hosts, his close-range effort thwarted by Galaxy's Ira Tape.
Both sides traded chances, with Keagan Dolly twice forcing saves from Mothwa, while Kambindu's header demanded a top-corner stop from Tape.
The breakthrough arrived in the 30th minute when Zajmovic latched onto Kamogelo Sebelebele's pinpoint pass, slotting a left-footed strike into the bottom corner to give Galaxy a 1-0 lead.
Eight minutes later, Sebelebele turned scorer, finishing a slick move involving Marks Munyai to double the advantage at 2-0.
AmaZulu fought back before the break, Kambindu finally breaking through in the 44th minute with a clinical finish from close range after Sandile Mthethwa's assist, halving the deficit to 2-1.
The half ended with AmaZulu holding 61% possession and six attempts on goal, while Galaxy's seven efforts proved more decisive.
The second half saw AmaZulu push for an equalizer, enjoying 62% possession across the match and racking up 16 attempts.
Moremi and Nkosikhona Radebe went close, the latter striking the post in the 77th minute, but Galaxy's defence, marshaled by Tape, held firm.
Substitutions peppered the half, Etiosa Ighodaro and Hendrick Ekstein entered for AmaZulu, while Victor Letsoalo and Nhlanhla Mgaga bolstered Galaxy, but the scoreline remained intact.
Galaxy's discipline wavered late, with yellow cards for Mlungisi Mbunjana and Munyai, yet their counter-attacking threat persisted.
AmaZulu's late pressure, including a missed chance from Kambindu in the 89th minute, couldn't breach Tape's goal, and the visitors sealed a 2-1 triumph.
The stats told a tale of dominance without reward: AmaZulu's 16 attempts dwarfed Galaxy's eight, but clinical finishing proved the difference.
The result lifts Galaxy to third on the Betway Premiership log with 35 points from 23 games, while AmaZulu remain seventh with 30 points from their 23 matches.
This was a classic display of efficiency toppling possession, a lesson AmaZulu will rue as Galaxy celebrate a statement win.