Kulenty's compositions have been premiered at festivals throughout the world, such as the Huddersfield Contemporary Music Festival, Schleswig-Holstein Musik Festival, Munich Biennale, Warsaw Autumn, and Musica Polonica Nova. Her numerous orchestral pieces have been performed by symphony orchestras in the Netherlands (Radio Filharmonisch Orkest), Denmark (Danish National Symphony Orchestra), Poland, and Germany (Radio-Symphonie-Orchester Berlin), with conductors such as David Porcelijn, Antoni Wit, Peter Hirsch, Peter Eötvös, Ingo Metzmacher, Renato Rivolta, and Ronald Zollman. Soloists such as Isabelle van Keulen, Elisabeth Chojnacka, Krzysztof Bąkowski, Marco Blaauw, and Frank Peters have performed her work, as have the Dutch ensemble De Ereprijs, who commissioned her to write pieces on several occasions. In 2008 the Kronos Quartet performed her String Quartet No. 4. Since the success of her opera The Mother of Black-Winged Dreams at the Munich Biennale 1996 she is considered "one of the leading figures on the Polish composers’ scene".Chłopecki, Andrzej. "Contemporary Polish Music". Retrieved on 2009-02-02.
