The world number one, was ruthlessly efficient in dismantling the Scot's game, racing into a two-set lead after he broke serve twice in the opener and once in the second.
Roger Federer claimed his 16th grand slam title when he beat Britain's Andy Murray 6-3 6-4 7-6 in the final of the Australian Open on Sunday.
Murray had been attempting to become the first British man to win a grand slam since Fred Perry captured the 1936 US Open.
The world number one, however, was ruthlessly efficient in dismantling the Scot's game, racing into a two-set lead after he broke serve twice in the opener and once in the second.
Murray held a 5-2 lead in the third and with the crowd finding their voice for the 22-year-old, he seemed to be on the verge of mounting a fightback.
Federer though upped his game to level at 5-5 and then forced a tiebreak which he eventually sealed 13-11 when Murray's backhand hit the net.