Little wonder he loves Rod Laver Arena.
"It's definitely my favorite Grand Slam," he said. "It's an incredible feeling winning this trophy once more. I love this court."
Djokovic has won four of his six major titles at Melbourne Park, where he is now unbeaten in 21 matches.
Nine other men had won back-to-back titles in Australia over 45 years, but none were able to claim three in a row.
Only two other men, American Jack Crawford (1931-33) and Australian Roy Emerson (1963-67), have won three or more consecutive Australian championships.
Born a week apart in May 1987 and friends since their junior playing days, Djokovic and Murray played like they knew each other's game very well in a rematch of last year's U.S. Open final. There were no service breaks until the eighth game of the third set, when Djokovic finally broke through and then held at love to lead by two sets to one.
Djokovic earned two more service breaks in the fourth set, including one to take a 4-1 lead when U.S. Open champion Murray double-faulted on break point.
"It's been an incredible match as we could have expected," Djokovic said. "When we play each other, it's always, we push each other to the limit and I think those two sets went over two hours, 15 minutes, physically I was just trying to hang in there. Play my game and focus on every point."
The 25-year-old Serb didn't rip his shirt off this time, as he did to celebrate his epic 5-hour, 53-minute win over Rafael Nadal in last year's final. He just did a little dance, looked up to the sky and then applauded the crowd after the 3-hour, 40-minute match.
Murray's win over Djokovic in the U.S. Open final last year ended a 76-year drought for British men at the majors, but he still is yet to make a breakthrough in Australia after losing a third final here in the last four years.
Djokovic's win went against the odds of recent finals at Melbourne Park. In four of the past five years, the player who won the second of the semifinals has finished on top in the championship match. But this year, Djokovic played his semifinal on Thursday — an easy 89-minute minute win over No. 4-seeded David Ferrer. Murray needed five energy sapping sets to beat 17-time major winner Roger Federer on Friday night.
"You don't wake up the next day and feel perfect, obviously," Murray said of the Federer match. "It's the longest match I played in six months probably. It obviously wasn't an issue today. I started the match well. I thought I moved pretty good throughout."
The win consolidated Djokovic's position as the No. 1-ranked player in the world. Federer and Murray will be second and third when the ATP rankings are released Monday.
Their last two matches in Grand Slams — Murray's five-set win at last year's U.S. Open and Djokovic's victory here last year in five in the semifinals — had a total of 35 service breaks.
It was a vastly different, more tactical battle on Sunday, with the first two tight sets decided in tiebreakers.
Murray, who called for a trainer to retape blisters on his right foot at the end of the second set, was visibly annoyed by noise from the crowd during his service games in the third set, stopping his service motion twice until the crowd quieted down. After dropping the third set, he complained about the noise to chair umpire John Blom.
"It's just a bit sore when you're running around," Murray said. "It's not like pulling a calf muscle or something. It just hurts when you run."
Djokovic also appeared frustrated at times, kicking the ball football-style back over the net after he hit a forehand long during a lengthy point, and muttering to himself while sitting down in his chair during changeovers. But both players were guilty of making unforced errors, often ending long rallies with shots into the net or long.
Djokovic came from 0-40 down in the second game of the second set to hold his serve, a situation he called "definitely one of the turning points."
"He missed an easy backhand and I think mentally I just relaxed after that," Djokovic said. "I just felt I'm starting to get into the rhythm that I wanted to. I was little more aggressive and started to dictate the play."
Murray's fans came dressed for the occasion, with some wearing "Braveheart"-style wigs, Scottish flags painted on their faces and tartan caps. One group of men wore white T-shirts with black letters that spelled out A-N-D-Y; they serenaded Murray at the start of the first two sets.
There were a number of Serbian shirts, caps and flags in the stadium, as well as fans calling "Ajde!" or "Come on!" in Serbian to support Djokovic. Retired NBA basketball star Vlade Divac was sitting in Djokovic's box.
Djokovic looked agitated after failing to convert the break points in the first set, frequently looking up to his box and yelling at the members of his team and himself.
Although Djokovic went into the match with a 10-7 lead in head-to-heads, Murray had beaten Djokovic five out of eight times in tiebreakers, and that improved to six of nine after four unforced errors by Djokovic to end the first set.
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 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."
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.
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.