Kohli's deputy Rohit Sharma failed to break into the Top-10 as he secured the 11th spot in the rankings with 662 points.
The new T20I team rankings saw 80 teams enlisted.
JP Duminy, Dickwella, Malinga and Udana among others to gain in rankings update after South Africa-Sri Lanka series.
Bairstow, Billings, Pooran are the batsmen who moved up after West Indies-England series.
Glenn Maxwell also moved up to number 3 spot in the ICC T20I batsmen rankings.
Babar Azam, Rashid Khan and Glenn Maxwell continue to lead the batting, bowling and all-round charts respectively.
India have a chance to reduce the deficit between them and Pakistan.
Players from India and Pakistan have gained big points after their repsective series sweeps against the Windies and New Zealand.
Babar overtook Australia captain Aaron Finch to take the top spot.
Fakhar Zaman also saw a dip in his ranking.