The latest rankings include the fifth one-day international against Australia in Brisbane on February 13.
New Zealand fast bowler Kyle Mills has edged further up the one-day rankings to third, while the injury-hit Jacob Oram slips to 19th.
Ross Taylor is New Zealand's best one-day batsman, ranking 16th alongside South African Herschelle Gibbs, while Brendon McCallum slots in at 27th.
Vettori ranks 11th in the test bowling rankings, with Chris Martin the next highest New Zealander on 19th.
In the test batting rankings, Ross Taylor is the first New Zealand player to register at 33rd, two places ahead of Vettori.
In the test team rankings, India, the Black Caps opponents starting next week, are third on the list, with New Zealand languishing in eighth place on the 10-team table.
Test rankings: Australia 126, 1; South Africa 121, 2; India 118, 3; Sri Lanka 108, 4; Pakistan 100, 5; England 98, 6; West Indies 89, 7; New Zealand 81, 8; Zimbabwe 19, 9; Bangladesh 0, 10. (ANI)