The first game saw both Minh and Chou enter a race in which the Taiwanese player made an impressive start, widening the gap at 13-6 at a time.
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Minh fought back hard, narrowing the gap at 19-19 and scoring the two decisive points in the last minutes, ending it 21-19.
After the interval, both players entered the second game more confidently, but it was Chou who outclassed Minh 21-14 in a tense service.
In the last game, Minh controlled the pace, avoiding mistakes and ending the game 21-19.
Minh (World No 17) had earlier defeated Chou (World No 22) twice in face-to-face contests.
This is the second consecutive time Minh has taken the trophy of the US Open Badminton Championship – part of the Badminton World Federation (BWF) Grand Prix Gold Series.