He studied conducting under Stanisław Wisłocki's supervision as well as the theory of music and composition at the Fryderyk Chopin University of Music in Warsaw. He graduated in 1975. The same year he made his debut at the Grand Theatre - the National Opera in Warsaw with a new performance of Don Giovanni by Wolfgang Amadeus Mozart. The following year, he performed for the first part at the Düsseldorf Opera, where he was a visiting conductor for two subsequent seasons. In 1978, Kaspszyk was appointed the first conductor of the Polish Radio and Television Great Symphonic Orchestra, and in 1980 he was offered the post of musical director of this ensemble. Kaspszyk made a few European tournées and performed at well-recognised festivals with the Polish Radio and Television Great Symphonic Orchestra. In 1978, the artist won the 3rd Award at the Herbert van Karajan Conducting Competition in West Berlin. He performed in New York the same year.
In 1982, the conductor moved to London where he made his debut with the Philharmonia Orchestra at the Royal Festival Hall. In 1983, Kaspszyk made numerous tournées with the Chamber Orchestra of Europe. He also began working with the Capital Radio's Wren Orchestra and shortly after was appointed its first conductor. At this time, Kaspszyk performed regularly with orchestras based in London such as Philharmonia Orchestra, London Symphony Orchestra, London Philharmonic and Royal Philharmonic, as well as the British orchestras, among others Halle, Royal Scottish National, BBS Scottish and BBC National Orchestra of Wales. He performed with the BBC National Orchestra of Wales in 1984 at the BBC Henry Wood Promenade Concerts (BBC Proms).
Kaspszyk conducted many renowned orchestras on the European continent such as Wiener Symphoniker, La Scala Orchestra, Bayerische Rundfunk, Rundfunk-Sinfonieorchester in Berlin, Orchestre de Paris, Orquesta Nacional de España, National Symphony Orchestra in Dublin, Chamber Orchestra of Europe (with which he toured Australia), as well as philharmonic orchestras in Oslo, Stockholm, Rotterdam and Prague. Between 1991 and 1995, he was the first conductor and music consultant of the Nord Nederland Orkest. In 1992, he was the main visiting conductor of the English Sinfonia. In 1993, his interpretation of 8th Symphony by Gustav Mahler in Athens, performed with the Athens Symphonic Orchestra and London Symphony Chorus, won wide recognition. Outside Europe, Kaspszyk performed in the United States (Cincinnati Symphony, San Diego Symphony), Canada (Calgary Symphony, Winnipeg Symphony), Japan (Yomiuri Nippon Symphony, Tokyo Philharmonic), Hong Kong Philharmonic and New Zealand Symphony. In 2004, the conductor made his debut in China with the China Philharmonic and Guangzhou Symphony with which he performs every year. He also performs with the National Philharmonic on a regular basis. Between 1996 and 1998, he was the first visiting conductor of this orchestra. In addition, Kaspszyk works with Sinfonia Varsovia. He also cooperates closely with the Warsaw Chamber Opera and the associated Warsaw Symphonic Orchestra.
Jacek Kaspszyk's achievements in the field of opera are highly appreciated. He conducted at many renowned theatres, such as Deutsche Oper am Rhein in Düsseldorf, Opera Comique in Paris (The Magic Flute by Wolfgang Amadeus Mozart), Opéra de Lyon (A Midsummer's Night Dream by Benjamin Britten, Seven Deadly Sins by Kurt Weill), Opera de Bordeaux (Eugene Onegin by Pyotr Tshaikovsky), Royal Opera in Stockholm, English National Opera (Barber of Seville Gioacchin Rossini), North Leeds Opera (The Flying Dutchman by Richard Wagner), Scottish Opera (The Bat by Johann Strauss), Opernhaus in Zurich, Detroit Opera (The Haunted Manor by Stanisław Moniuszko), Teatro Colón in Buenos Aires (Ubu Rex by Krzysztof Penderecki) and Teatro de la Maestranza in Seville. He also conducted Turandot and Tosca at the Puccini Festival in Torre del Lago.
In 1998, he was offered the post of artistic and musical director and in 2002 the general director of the Grand Theatre - the National Opera in Warsaw. He conducted first performances of Don Giovanni, The Bluebeard's Castle and The Miraculous Mandarin by Béla Bartók, King Roger by Karol Szymanowski, Ubu Rex, Damnation of Faust by Hector Berlioz, Salome by Richard Strauss and Wozzeck by Alban Berg. He performed with the Opera ensemble at the Bolshoi Theatre in Moscow (2002), at the Beijing Festival (2002) and at the Sadler's Wells Theatre in London (2005). He also made three tournées with this ensemble across Japan. Since 2006, he has been cooperating with the Vilnius Opera for which he performed Wagner's The Valkyrie and Salome. They were presented at the festivals in Lublana and Rawenna (2007) and during the conductor's residence at the Israeli Tel Aviv-Yafo Opera (2008).