On the other hand, West Indies captain Jason Holder conceded his top ICC Test all-rounder's ranking to England star Ben Stokes after an unimpressive outing against New Zealand in the first Test which his team lost by an innings and 134 runs.
Australia's Steve Smith, with 911 points, kept his hold on the pole position in the batting charts ahead of Kohli and Williamson, who hit a match-winning double hundred against the West Indies in Hamilton.
India's Chesteshwar Pujara remained seventh on the list ahead of Stokes (8th) and England captain Joe Root (9th) respectively, the ICC said in a statement.
Holder bowled 31 wicketless overs during New Zealand innings and had scores of 25 and 8, which led to his slight slump in rankings. Stokes, with 446 points, is on top of the list while Holder with 434 is placed second.
India's Ravindra Jadeja maintained his third position with 397 points. His teammate Ravichandran Ashwin dropped a place to be at sixth with 287 points.
Among bowlers, India's Jasprit Bumrah stayed put at ninth position on the list while Ravichandran Ashwin gained a position to be 11th.
India will play Australia in the four-Test Border-Gavaskar Trophy starting in Adelaide from December 17.