Trent Boult of New Zealand leads the ranking followed by Australian pacer Mitchel Starc and South African spinner Imran Tahir.
Narine is rank at number 4 with Josh Hazlewood completing the top 5 while Jason Holder is the next highest West Indian at 16.
In the batting rankings, Marlon Samuels at 27 is the best placed West Indian.
Australian vice-captain David Warner meanwhile took over as world number one and now holds a 19 point lead over AB de Villiers.
The other spots in the top 5 are occupied by Virat Kohli, Quinton de Kock and Kane Williamson.