In the latest updated rankings released on Tuesday (November 8), offspinner Ashwin retained his top spot ahead of South African paceman Dale Steyn.
England's fast bowler James Anderson is at third place followed by Sri Lankan left-arm spinner Rangana Herath. Englishman Stuart Broad completes the top-5 list.
Ashwin, with a career-best 900 rating points, will have a chance to increase the gap between him and Steyn (861 points) as he gears up to face England from tomorrow (November 9) in a five-Test series.
Steyn sustained a shoulder injury during the Perth Test, which concluded yesterday (November 7) and is ruled out of the entire 3-match rubber against Australia.
Ravindra Jadeja is the next highest-ranked Indian, at 7th position. Pakistan's Yasir Shah is at 6th. Australia's Mitchell Starc, Josh Hazlewood and Neil Wagner (New Zealand) complete the top-10 slots.
Here are the top 5 Test bowlers (in pictures) in the latest rankings released on November 7, 2016.
India's Ashwin continues to be on top of the world. He has 900 points.
Steyn was ruled out of the Australia Test series due to a shoulder injury. He is at 2nd place.
Anderson, who is nursing an injury, will miss the opening Test against India starting tomorrow (November 9) in Rajkot. It is still unclear when he will be fit to lay in the 5-match rubber. He is 3rd in ICC Rankings with 853 points.
Herath, who was recently appointed Test captain of Sri Lanka for Zimbabwe tour, is at 4th place with 832 points.
Broad is set to play his 100th Test, against India, tomorrow in Rajkot. He has 821 points and is placed 5th.