Kaur scored a 66-ball 63 in the fifth and final ODI against New Zealand recently to roar back into form, the knock helping India to avoid a whitewash at the hands of the home team.
Deepti Sharma gained two spots to be at 18th while compatriot Richa Ghosh rose 15 places to occupy 54th position in the latest women's ODI batter rankings.
The Indian pair of Shreyas Iyer and Suryakumar Yadav has made strides up the table. Yadav scored 64 in the second ODI against the West Indies.
Among the all-rounders, India's Deepti Sharma also gained one spot to be at fourth in the ICC Women's ODI rankings.
Mithali had 738 points, Smriti had 710 points in her kitty in the batting ranking, which had South Africa's Lizelle Lee at the top with 761 points.
Dhawan's unbeaten 86 in the first game of the ongoing three-ODI series in Colombo helped him accumulate 712 rating points.
While Kohli is second on the list, his white-ball deputy Rohit Sharma is third with 825 rating points.
India's pace bowling spearhead Jasprit Bumrah also held on to his fifth spot in the bowlers' list.
Kohli and Sharma were sitting pretty with 857 and 825 points respectively in the batting list headed by Pakistan's Babar Azam with 865 points.
The Black Caps had on Monday moved up two slots in MRF Tyres ICC Men's ODI Team Rankings after gaining three rating points to reach an aggregate of 121.
The innings of 193 was the highest by a batsman from team batting second.
Raut, who has held a career high ranking of 13th, jumped eight places to 18th after scores of 62 not out, 77 and 104 not out in her last three matches.
Another veteran Mithali Raji -- with 687 points -- remained at 9th to be the second Indian batswoman in the top 10. Mandhana has 732 points.
In the list of all-rounders, Ravindra Jadeja has moved down by a spot and is currently at number eight.
Skipper Kohli scored two half-centuries in the recently concluded three-match ODI series against Australia which India lost 1-2.
Meanwhile Pakistan all-rounder Imad Wasim has gained three spots to reach 49th position even as captain Babar Azam has bridged the gap a little with the Indian pair.
Lanning has recaptured the top position for batters after playing a leading role in her side's 3-0 whitewash of New Zealand in Brisbane that saw the six-time world champions to a record 21 consecutive wins in the format.
England opener Jonny Bairstow and the Australia pair of Glenn Maxwell and Alex Carey, all of whom slammed centuries in the final match of the series at the Old Trafford on Wednesday, have made remarkable gains in the rankings.
Virat Kohli and Rohit Sharma retained the first and second position respectively, while Jasprit Bumrah remains at the top in the ICC ODI Rankings.
Virat Kohli is sitting pretty at the top of the rankings for batsmen with 895 rating points.
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