Both teams have three points after two games in Group B in front of Afghanistan and England, who play on Wednesday.
Trophy Binning Between Australia and South Africa in Rawalpindi was abandoned without a ball after a permanent rain held players from the field.
The match at the Rawalpindi Krixket Stadium in the northern Pakistani city was invited at 17:10 local time (12:10 GMT), more than five hours after the scheduled start time on Tuesday.
Light rain in the day left the pools of water on the covers and on the field, which made the game impossible.
Several spectators with South African and Australian flags were eagerly awaiting the start of the match, but they had to leave without watching any action.
South Africa is at the top of the pool on a net run from Australia with both teams on three points after winning their introductory nodes against Afghanistan and England.
The last two meet in Lahore on Wednesday, with the first two teams in each group progressed to the semifinals.
The last set of knots will see Afghanistan on Friday in Australia, while South Africa will play England on Saturday.
In Group A, India and Novi Zealand, they have booked their seats in the last four after winning two of three matches.
