The Polish team prevailed 25:20, 27:25, 21:25, 22:25, 15:12 in the quarter-final thriller, much to the delight of their home crowd in the southern city of Gliwice, news outlets reported.
Aleksander Śliwka scored the winning point as the Poles edged out the Americans to set up a semi-final clash against Brazil in Katowice, southern Poland, on Saturday.
Meanwhile, Italy will battle it out with Slovenia in the other semi-final.
The 2022 FIVB Volleyball Men's World Championships are being jointly hosted by Poland and Slovenia from August 26 to September 11.
Originally, the tournament was due to be held in 10 cities across Russia, but the International Volleyball Federation (FIVB) stripped Russia of its right to host the event following Vladimir Putin's invasion of Ukraine, public broadcaster Polish Radio’s IAR news agency reported.
Poland defeated Brazil in the last two world championship finals to win titles in 2018 and 2014.
Poland's national volleyball team last year won the bronze at the 2021 Men's European Volleyball Championship.
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Source: przegladsportowy.onet.pl, en.volleyballworld.com