The Bangalore boy last played in the recently concluded Hamburg Open where he, partnering Mahesh Bhupathi, lost in the quarter-finals to Jeremy Chardy and Gilles Simon.
Bhupathi on the other hand dropped a place to 16th with 4,330 points. Bhupathi-Bopanna are ranked seventh as a team on 2,165 points.
Reigning Australian Open men's doubles winner Leander Paes remained on fifth with 6,335 points.
In the WTA rankings, Sania Mirza gained a place in the singles rankings to reach 247 while her doubles ranking remains the same at 18.