This was Nadal's 65th win in the tournament to date, as his win-loss ratio in the event currently stands 65-13, win a win percentage of more than 80.
This is also the 12th time he has reached the quarters of the tournament.
Overall, it would be his 41st Grand Slam quarters appearance.
Also, this was Nadal's fifth career win over Kyrgios in eight matches.
Nadal to take on Thiem in quarters
Meanwhile, Nadal is wary of the fact that he would be taking on Austria's Dominic Thiem in the quarters on Wednesday.
As of now, Nadal leads 9-4 in the head-to-head battles, while he previously beat him in the two back-to-back French Open finals.
Furthermore, Thiem is coming off a convincing straight-sets 6-2, 6-4, 6-4 win over France's Gael Monfils.
I'm moving in the right direction in this tournament: Nadal
"I believe, I am moving in the right direction in this tournament. Hopefully, this victory, against one of the best players in the world, gives me positive feelings. I'm going to try my best and see what happens," said Nadal on facing Thiem in quarters.