The All Blacks remain in top spot with England second and Ireland third, but South Africa have knocked Australia down to fifth in climbing to fourth.
The Wallabies sit just above Scotland, Wales and France in the updated rankings, while Fiji have leapfrogged Argentina to reach ninth place.
The All Blacks increased their points to 95.21 in first place by winning 54-34 in Saturday's first Bledisloe Cup test of 2017 in the opening round of the Rugby Championship, while the Springboks beat the Pumas 37-15 in Port Elizabeth.
