The new lyrics include a reference to Poland's wide-ranging assistance, saying "the war showed who our brother is."
"Hey, Sokoly (Hey, Falcons) has long been part of our repertoire," said the artistic director of Pikkardiyska Tertsiya, Volodymyr Yakymets.
He added: "Our team has a rule of good manners - to sing in the languages of the countries where we perform.
"So at all the concerts in Poland, and we have had a lot of them during our 30 years on the music scene, we performed Hey, Sokoly in Polish, and the audience always welcomed it.
"The song was included in our album Tercia Pikardyjska, released in Katowice [southern Poland] in 2003.
"These days, at the request of the Ukrainian armed forces, we have created a new recording of Hey, Sokoly in Ukrainian and Polish.
"It is a sign of gratitude and respect to the Poles, who, despite all the differences in the past over historical issues, opened their hearts during Russia’s war against Ukraine, and accepted millions of Ukrainian refugees."
Poland has taken in 2.78 million refugees fleeing Russia's invasion of Ukraine, the Polish Border Guard agency reported on Saturday.
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Hey, Sokoly from Pikkardiyska Tertsiya (2022): https://www.facebook.com/GeneralStaff.ua/videos/665782878054023/