Djokovic pegged back that edge in the second set, when Murray also didn’t help his cause by double-faulting to give Djokovic a 3-2 lead, and the Serbian player didn’t trail again in the tiebreaker.
On the double-fault, Murray had to stop as he was about to serve to pick up a feather that had fallen on the court.
‘‘I could have served, it just caught my eye before I served ... I thought it was a good idea to move it,’’ he said.
‘‘Maybe it wasn’t because I obviously double faulted. At this level it can come down to just a few points here or there. My probably biggest chance was at the beginning of the second set; (I) didn’t quite get it. When Novak had his chance at the end of the third, he got his.’’
Djokovic will have little time to savor the win — he’s playing Davis Cup for Serbia next weekend against Belgium.
‘‘It’s going to be a lot of fun ... to see how I can adjust to clay court in indoor conditions, playing away Davis Cup, which is always tricky,’’ he said.
Andre Agassi was among those in the capacity crowd — the four-time Australian champion’s first trip Down Under in nearly 10 years — and he later presented the trophy to Djokovic.
Victoria Azarenka, who won Saturday’s women’s singles final over Li Na, was also there with her boyfriend rapper Redfoo. Actor Kevin Spacey met in the dressing room with both players ahead of the match and later tweeted a photo of himself with them.
In the earlier mixed doubles final Sunday, wild-card entrants Jarmila Gajdosova and Matthew Ebden of Australia beat the Czech pair of Lucie Hradecka and Frantisek Cermak 6-3, 7-5.