Ashwin claimed 12 for 98 in the third Test in Nagpur to spin his side to a 124-run victory and India could move as high as second place in the ICC Test Championship if they win the fourth Test which starts on Friday.
Ashwin's ascent from the fifth position means that James Anderson and Yasir Shah drop to joint third on 846 points, while Stuart Broad fell to fifth, the ICC said in a statement.
Other bowlers to head in the right direction during the Nagpur and Adelaide Tests include Amit Mishra (up two to 31st) who joins Imran Tahir (up by 14 places to 35th) in making career-high gains, while Black Caps bowler Doug Bracewell is one place and a single point further back in 36th after gaining four places.
Australia captain Steven Smith and England's Joe Root have regained joint pole position in the rankings for Test batsmen after de Villiers has dropped two places to third. The South Africa middle-order batsman now trails the duo by nine points, but a strong showing in New Delhi could see him regain top billing.
There is one change in the top five all-rounders as Mitchell Starc has moved up to a career-high fifth position.
Meanwhile, in the ICC Test Championship Australia have moved into second position on 109 points following their 2-0 series win.
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