The Serbian is the first player to win three consecutive Melbourne titles in the Open era and was in jubilant mood after seeing off Murray 6-7 7-6 6-3 6-2, although he admitted he was pushed hard by his opponent in a match that lasted three hours and 40 minutes.
"It's definitely my favourite Grand Slam. It's an incredible feeling winning this trophy once more. I love this court," said Djokovic.
"It's been an incredible match as we could have expected. When we play each other, we always push each other to the limit.
"Physically I was just trying to hang in there, to play my game and focus on every point."
Djokovic battled back from 0-40 down in the second game of the second set to hold his serve, something he feels was crucial in the context of the match.
"He missed an easy backhand and I think mentally I just relaxed after that," he added.
"I just felt I'm starting to get into the rhythm that I wanted to. I was a little more aggressive and started to dictate the play."