Bopanna, already out of the men's doubles event, and Hsieh went down 2-6 3-6 the Czech-Polish combination of the Kveta Peschke and Marcin Matkowski.
The 56-minute clash was completely dominated by Peschke and Matkowski, who did not concede a single break of serve during the match.
In the first set, which lasted a mere 20 minutes, the Czech-Polish pair broke Bopanna and Hsieh twice and sent down 11 winners to set the tempo for the game.
The second set followed a similar script as Peschke and Matkowski clinched the crucial a break of serve to seal the issue in their favour.
Bopanna was the only Indian in action today at the year's first Grand Slam.
