Kohli gained 47 ratings points to move ahead of Finch with 892 ranking points to his credit. Suresh Raina moved up three places to 13th after his impressive series.
India became the number one side in Twenty20 International following a 3-0 white wash over Australia.
Rohit, Kohli slammed half-centuries and Raina 49*, 25-ball to help India win series 3-0 against Australia, and India move on top ICC T20 ratings.
In-form batsman Usman Khawaja was Saturday brought into Australia's squad for the final Twenty20 match against India, as captain Aaron Finch was sidelined with injury.
India win by 27 runs and take series 2-0 as spinners sink Australia in 2nd T20I at MCG on Friday.
Virat Kohli scored unbeaten 90 off 55 balls and a 134-run partnership with Suresh Raina (41) to give India a 37-run win over Australia at at Adelaide Oval on Tuesday.
Manish Pandey struck his maiden one-day century in a high-scoring thriller to secure India a pride-salvaging six-wicket victory against Australia in the fifth and final ODI in Sydney on Saturday.
Australia eye win No. 19, and one-day series whitewash over India in Saturday's final game, after being handed an unlikely win in the fourth tie when the tourists imploded with victory in sight.
India lose final nine wickets for just 46 runs from 1-277 to 323 as Richardson leads Aussie fightback with 5-68.
Shaun Tait is recalled by Australia after an absence of almost five years for the Twenty20 series against India.