Australia are now only a quarter of a point ahead of Wales in the rankings, the side directly below them, ahead of two tests against the All Blacks.
The Springboks remain in third place after their victory, behind France in second and Ireland at the top.
After the weekend's fixtures, the Rugby Championship ladder was shaken up once again with the All Blacks rocketing up to the top spot with 10 points, edging the rest of the teams by one extra bonus point.
The Wallabies (second), South Africa (third) and Argentina (fourth) all sit on nine points in one of the tightest Rugby Championships ever.
World Rugby's latest men's rankings
1. Ireland (90.03 - maintained position)
2. France (89.41 - maintained position)
3. South Africa (87.89 - maintained position)
4. New Zealand (86.41 - up from fifth)
5. England (86.25 - down from fourth)
6. Argentina (82.32 - up from seventh)
7. Scotland (81.93 - up from eighth)
8. Australia (81.54 - down from sixth)
9. Wales (81.28 - maintained position)
10. Japan (77.74 - maintained position)
Rugby Championship ladder