That allows the fifth-seeded Tsitsipas to move into the quarterfinals at Melbourne Park for the second time in three years. He will face Rafael Nadal next.
The U.S. Open runner-up and top seed in Marseille dropped his serve five times against the 35-year-old Simon, after breaking him in the first game.
The top-ranked Djokovic earned a comfortable 6-3, 6-4 win over Stefanos Tsitsipas on Sunday to join Nadal as the most successful players in Masters 1000 tournaments.
The top-ranked Nadal beat the unseeded Greek upstart 6-2, 7-6 (4) for his fourth Rogers Cup crown and fifth victory of the year. He has 33 ATP World Tour Masters 1000 titles.
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