The Serbian duo won their opening round match 6-2, 6-2 against Croatian combination of Marin Cilic and Marin Draganja.
Novak starts his US Open Series campaign at the Rogers Cup, taking place in Toronto, Canada, from July 25-31.
2012 Australian Open and Miami champion continued his quest for an Olympic Games medal with a 6-2, 6-1 win over American Andy Roddick in just 54 minutes.
Nole won the bronze medal in singles at the Beijing Olympics in 2008 with a 6-3, 7-6(4) win over American James Blake.
World no.1 Novak Djokovic was presented with the Men´s Singles World Champion award during the 2012 ITF World Champions Dinner at the Pavillion D´Armenonville on June 5 in Paris.