Pujara and Kohli are the only two Indian batsmen to figure in the table, which is headed by South Africa's AB de Villiers. (Agencies)
England captain Alastair Cook made a comeback to the top 10 after he moved up a place to be at 10th.
Australia's David Warner, meanwhile, broke into the top 20 for the first time in his career as he has jumped 18 places to the 17th spot following his knock of 124 in the second innings of the Brisbane Test against England.
In the Test bowlers' rankings, Ravichandra Ashwin and Pragyan Ojha remained at fifth and ninth spots, respectively but Zaheer Khan has slipped two places to be at 20thposition.
Dale Steyn of South Africa continues to rule the roost in the bowlers' list, followed by teammate Vernon Philander.
Mitchell Johnson, the star of Australia's 381-run win over England in the first Ashes Test at Brisbane, made a return to top 20.
Johnson finished with figures of four for 61 and five for 42 for which he has been rewarded with a jump of four places to be in the 19th position.
For England, the biggest mover was Stuart Broad, who gained four places to be at seventh.
In the all-rounders' chart, Ashwin continues to hold on to the top position.
Pujara and Kohli are the only two Indian batsmen to figure in the table, which is headed by South Africa's AB de Villiers.