They hammered the Sharks tryline and after repeated penalties five-eighth Bryce Hegarty took a quick tap and fired a long ball out to reserve hooker Pat Leafa who burrowed over the line.
Jason Woodward added the extras but the clock was against the Rebels, who ran out of time to find the necessary points.
They kept at it, even after full-time, and got to within 10 metres before a penalty for failing to release the ball.
Woodward made a superb break midway through the first half, beating six Sharks defenders and as the Rebels sent the ball across field they forced a penalty and their first points of the game.
The athletic fullback added a second penalty and although they came desperately close to scoring, with flanker Colby Fainga'a just centimetres away, couldn't get across the tryline until Leafa's effort.
No South African team had managed to win in Australia or New Zealand this season but the competition leaders broke the mould which followed a shock loss to the Highlanders last round.
The win will add a little more spice to their encounter next week with Australian conference leaders the Brumbies when coach Jake White returns to face his old team for the first time.
- AAP