He began playing the violin at the age of six, and a year later he started taking piano lessons. After graduating from the piano department at the National School of Music in Katowice in 1990, he began studies in composition at the Academy of Music in Katowice under his father, Henryk Mikołaj Górecki. He graduated with honours in 1995. In 1996 and 1997 he received scholarships from The Banff Centre for the Arts in Canada, where he perfected his compositional technique. In 2000, he earned his doctorate in composition at the Indiana University in Bloomington in the United States. From 2000 to 2001 he taught at McGill University in Montreal. He currently lives and works in the United States.
Górecki received first prize at the Competition for Young Composers in Bielsko-Biała in 1988 for his Preludes for Piano, and six years later, third prize for Sonata for Clarinet and Piano (1993-1994) from the Critics Association at the Second Forum of Young Composers in Kraków.
His works were played on stages all over the world, among others in De Ijsbreker Centre in Amsterdam, Lincoln Center - A. Fisher Hall in New York, Montreal, Quebec City, Victoria, Edmonton, Washington and during such festivals as the ISCM World Music Days in Slovenia, Festiwal Prawykonań in Katowice, Musica Polonica Nova in Wrocław. His works were performed by, among others: Kaja Danczowska, Jadwiga Kotnowska, Agnieszka Duczmal, Gabriel Chmura, Ewa Pobłocka, Jerzy Maksymiuk, Tomasz Strahl, Marek Moś, National Polish Radio Symphony Orchestra in Katowice, "Amadeus" Chamber Orchestra, Brooklyn Philharmonic Orchestra in New York, AUKSO Chamber Orchestra of the City of Tychy and Sinfonia Varsovia.
His works are published by Polish Music Publishing House and by EUTERPE Publishing House.
In 2018, on the eighty-fifth anniversary of Henryk Mikołaj Górecki’s birth, an album entitled Górecki was released by Warner Classics. The album features two world premieres: Orpheus and Euridice by Mikołaj Górecki, as well as Two Tristan Postludes and Chorale Op. 82 by Henryk Górecki (orchestrated by Mikołaj Górecki), as well as Little Requiem for a Certain Polka Op. 66 by Henryk Górecki. The works are performed by Sinfonia Varsovia together with Jerzy Maksymiuk and Mikołaj Górecki, while in the last piece the piano part is performed by Anna Górecka.