The tall Tamil Nadu cricketer also retained the top spot in the list of all-rounders while his compatriot Ravindra Jadeja has gained two slots to reach a career-best fourth slot after scoring a crucial 90 in his only innings in Mohali.
Ashwin, who is fastest to claim 235 wickets in 42 Tests, is seated comfortably at the top of the table in ICC Test Rankings.
Australia pace bowler Josh Hazlewood has moved into the top five for the first time after taking six wickets in Adelaide. He has moved up four places to take fifth position.
Three other pace bowlers have also attained career-best rankings. India's Mohammad Shami has moved up two places to take 19th position, England's Ben Stokes has advanced four places to take 21st place while South Africa's Kyle Abbott has gained seven places to reach 29th slot.
In the list of all-rounders, Ravindra Jadeja has gained two slots to reach a career-best fourth slot after scoring a crucial 90 in his only innings in Mohali. Ashwin has consolidated his position at the top with 493 points, a tally not reached by anyone since retired South Africa player Jacques Kallis in 2008.
Here are top 5 bowlers in ICC Test Rankings (As on November 30, 2016, after India-England 3rd Test)
1. Ravichandran Ashwin
With 891 rating points, the Indian off-spinner is comfortably seated at the top of ICC Test rankings.
2. Rangana Herath
With 867 points, Sri Lanka's Rangana Herath is placed at the second spot.
3. Dale Steyn
South African pace spearhead is third on the ICC Test Rankings. He has 844 points.
4. James Anderson
The England pacer is at the fourth place in the ICC Test Rankings. He has 834 points.
5. Josh Hazlewood
Australia pace bowler has moved into the top five for the first time after taking six wickets in Adelaide. He has moved up four places to take fifth position. He has 815 rating points.