The 6-2 6-3 victory was his fifteenth in his final 16 matches, and despatched Kyrgios into the event’s quarter-finals, whereas additionally pushing his dwell rating to 27, all however securing a seeding for the 12 month's final grand slam at Flushing Meadows.
Kyrgios won the first four games of the opening set in which de Minaur won scarcely more than half of his first-serve points.
The pair traded breaks to open the second set but 27-year-old Kyrgios would not be denied, breaking de Minaur on the third try in the third game and again in the seventh.
Kyrgios briefly appeared agitated when he gave up a break in the penultimate game but found his composure to get the job done in a little over an hour, breaking back to love in the final game.
The win will move Kyrgios, currently ranked 37th to de Minaur's 21, high enough in the rankings to be seeded at the US Open later this month.
Kyrgios had an incredible year. In late February his ranking had dropped to 137. If Wimbledon would have been counted towards the ATP rankings, Kyrgios would currently be number 14 in the world.