There were also wins for Thiemo de Bakker, Sam Querrey, Thomaz Bellucci and Michael Berrer.

BBC: Andy Roddick through to Cincinnati Masters second round

The other winners on Tuesday were Tommy Robredo of Spain, German duo Bjorn Phau and Michael Berrer, and Somdev Devvarman of India.

BBC: Janko Tipsarevic

Djokovic, who struggled past Germany's Michael Berrer in the first round, broke his opponent six times on his way to a 6-1 6-3 victory in one hour and 14 minutes.

CNN: STORY HIGHLIGHTS