Anderson, who reached the final by defeating Spaniard Rafael Nadal in the previous round, had a more reliable serve at the start and didn't lose serve until the 11th game of the second set.
While ranking points were not up for grabs in the exhibition event, Djokovic felt the high standard of play was ideal preparation for the start of 2019, with the Serbian heading to Doha for the Qatar Open next week.
Earlier in the day, Russia's Karen Khachanov won the third-place match 6-3, 4-6, 10-3 over Austrian Dominik Thiem, who stepped in for Nadal after the Spaniard made a decision to skip the contest to avoid aggravating an injury.
In a rematch of the recent 2018 Wimbledon final, the Championship decider saw the opening games go on serve before the world number one put Anderson under pressure in the fourth to lead 30-40. Novak Djokovic won 2-0. "I am grateful that this season has taught me a lot about myself as a tennis player and as a person".
"There's a new generation of players, Nadal and Federer are still there, [Andy] Murray and [Stan] Wawrinka are coming back, Zverev is the leader of this Next Gen", Djokovic said.
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But if he is able to play like he did in the last match in the centre, then for me it is not a problem to put him in the centre. I am happy with him in this position but he can can still play as a winger, of course.
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They added that the exams are sometimes " conducted by individuals that are under contract support services to the Border Patrol". He was among nearly 25,000 migrant children in USA custody , according to McAleenan - the greatest number ever recorded.
Nadal, who won his 17th Grand Slam at the French Open in June, said he was happy with his progress "but of course I need to prove myself in competitions and hopefully, playing here will help me take the first steps".
Thiem, who Khachanov had beaten in Thursday's quarter-final clash, was called up as a replacement and the 22 year old beat the world No 8 for the second time in three days.
"I have great memories out here and of years playing great matches".
"I didn't take them and after a tough game at 4-4 again I missed some shots and he played some good points and he got the break".
Rafael Nadal's 14th Australian Open campaign is underway after the Spanish tennis superstar took a flight into Brisbane on Sunday night.
What does the Russian think of Djokovic's level after he played him in Friday's semi-finals. Honestly this is a flawless way to start the season.