Steve Smith scored 131 and 81 in the SCG Test against India.
Kohli, who returned to India on paternity leave and was blessed with a baby girl on Monday, January 11, played only the first Test of the four-match Border-Gavaskar Trophy series and scored 74 and 4.
Smith, meanwhile, after struggling in the first two Tests, come into his form with scores of 131 and 81 and went above Kohli in the rankings. Smith (900 points) is placed second behind New Zealand captain Kane Williamson (919). Kohli has 870 points in the latest chart, issued on Tuesday.
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Hanuma Vihari (52nd) and Ravichandran Ashwin (89th) too have gained after their fighting knocks, as has Shubman Gill (69th).
In the bowlers' list, off-spinner Ashwin dropped two placed to ninth and is followed by compatriot Jasprit Bumrah, who lost one spot. Australia’s Pat Cummins continues as the no.1 ranked Test bowler, followed by England pacer Stuart Broad and New Zealand's Neil Wagner.
(PTI inputs)