Pujara moved one place down to 8th while Kohli was pushed to 10th from 8th spot.
South Africa's AB de Villiers continues to be on top of the rankings followed by Kumar Sangakkara of Sri Lanka.
Pujara and Kohli are the only two Indians in the top 10 rankings which were updated after the South Africa-Australia series.
In the bowlers' rankings, R Ashwin remained at 9th spot. South Africa's Dale Steyn is still the number one bowler.
In the all-rounders' list, Ashwin lost his top spot to South Africa's Vernon Philander. Ashwin is now ranked second.
ICC Test Rankings for Batsmen
Rank (+/-) Player Team
1 ( - ) AB de Villiers (SA)
2 ( - ) Kumar Sangakkara (SL)
3 (+1) Shivnarine Chanderpaul (WI)
4 (-2) Hashim Amla (SA)
5 (+5) David Warner (Aus)
6 (-1) Ross Taylor (NZ)
7 (-1) Misbah-ul-Haq (Pak)
8 (-1) Cheteshwar Pujara (Ind)
9 ( - ) Michael Clarke (Aus)
10 (-2) Virat Kohli (Ind)