The other notable Indian batsmen like Virender Sehwag and Cheteshwar Pujara also slipped in the rankings, dropping a notch to 25th and 26th respectively.
Virat Kohli gained four places to be ranked 37th while skipper Mahendra Singh Dhoni remained static at 38th.
In bowling, Pragyan Ojha lost four places to be ranked ninth while R Ashwin made it to the 20th position after gaining two sports. Out of form seamer Zaheer Khan was static at 15th while Ishant Sharma's improved show in the Nagpur Test helped him gain a place to 32nd.
Clarke, who entered the Hobart Test trailing number-one ranked Shivnarine Chanderpaul by just one ratings point, now leads the West Indian by nine points.
Clarke's knocks of 74 and 57 in the Hobart Test against Sri Lanka that was won by Australia by 137 runs, played a part in helping him race to the top.
England's captain Alastair Cook, who was the other contender for the top spot, remained in fourth position after losing 38 ratings points following his double failure in the Nagpur Test which ended in a draw. He now trails Clarke by 52 ratings points.
The bowlers table is still headed by South Africa's Dale Steyn while Sri Lanka's spinner Rangana Herath dropped two places to fourth.
Also moving up is England's paceman James Anderson in sixth (up by one).