The Japanese player was unstoppable in the opening set but did have to fight off a Brengle comeback in the second to secure the 6-0 6-4 victory.
Osaka admitted she was thrown off by the American but was happy with the overall performance saying: "I think I started really well. I feel like it was a matter of adjusting. I think in the second set she adjusted to me pretty well and I was a bit thrown off by that but I'm glad I was able to break her back when she broke me in the second set."
The world number 14 has a sensational record at the Australian Open having lost one match in last three editions of the tournament.
Osaka has linked her form in Australia with positive memories of Melbourne.
She said: "Honestly, I'm not really sure. I just have really good memories here. Even when I was younger going through qualifying one year. I feel like having positive memories in a place, it always motivates you to do better so maybe that's the reason."
One man particularly impressed with Osaka's baseline game was Andy Murray who tweeted his thoughts on the Japanese player.
The two-time Australian Open champion reflected on the social media post saying: "Definitely means a lot for me, it was a cool moment. It's a little bit shocking because when you're playing you never really think about TV broadcasting it and other people watching.
"It was definitely very surreal. I hit with home once three years ago and it's memory that's really dear to me so it was really cool to have someone like him talking about my game."
During the post-match press conference, Osaka was also questioned about her mentality.
She said: "I think for me, it's reminding myself that the challenges are fun because you can win a match really easily but I found last year, when it was getting really tough, I found myself to be quite aggravated.
"I think that should be the opposite. When the times get tough, you should find yourself smiling more because you know that those situations are the ones that make you tougher and stronger."