The 26-year-old Pole beat Switzerland's Marc-Andrea Hüsler 4-6, 5-7, 7-6, 6-3, 6-1 in the first round of the men's singles at Flushing Meadows.
Hurkacz, who is 17th in the world ranking, next takes on Britain's world No. 123 Jack Draper for a place in the third round.
On the women's side, Poland’s world No. 1 Iga Świątek, 24th-ranked Magda Linette and 77th-ranked Magdalena Fręch have also advanced to the second round of the Grand Slam tournament in New York.
The 2023 US Open began on Monday and runs until September 10.
(gs)
Source: IAR, PAP