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After facing a match point during her third-round battle against Zhang Shuai on Saturday (local time), Pliskova was never pushed by Brady this morning, who failed to find her groove on a sunny day that cast a severe shadow across center court.
Brady struggled mightily with her service game, where she was only able to connect on 39% of her first serves compared to Pliskova's 67%.
Brady also struggled to read Pliskova's powerful serve and failed to convert either of her two break point chances.
"I think she was a little bit nervous," Pliskova said of the 22-year-old Brady during an on-court interview following the match.
"It was her first time on Ashe so I tried to take advantage of that."
Next up for Pliskova is either 20th-seeded American CoCo Vandeweghe or fellow Czech Lucie Safarova, who play later on Monday.
Nadal powers in quarterfinals
World No 1 Rafael Nadal dispatched Alexandr Dolgopolov 6-2 6-4 6-1 with a powerful display to reach the US Open quarterfinals in just one hour 41 minutes this morning.
The 28-year-old Ukrainian looked helpless against the Spaniard's dominant serve, which was boosted by courts made faster due to sunny conditions at the Arthur Ashe Stadium.
"I think I played a solid match. I played without making many mistakes," Nadal told the crowd in an on-court interview.
Next up for the top seed is a first meeting with 19-year-old Russian Andrey Rublev who beat Belgian ninth seed David Goffin.
Nadal dominated all facets of Monday's match, never dropping a service game and committing only 11 unforced errors while racking up 23 winners and breaking Dolgopolov six times.
The onslaught was too much for the unseeded Dolgopolov, who was never comfortable enough to unleash his unconventional game that features unexpected drop shots and bold net approaches.