The youngest of three children, his father was a judge and his mother a pharmacist. In 2002, he received his degree in music from the University of St. Cyril and St. Methodius in Skopje, Republic of Macedonia, where he studied with Professor Boris Romanov. By then he had already made his debut in recital at London's Wigmore Hall in 2001 and had won prizes in international competitions in the United Kingdom, the Czech Republic, and Italy.
Building on his exposure as a member of the BBC New Generation Scheme 2001-2003, Trpčeski has since 2005 made a rapid series of debuts with orchestras worldwide—including the New York Philharmonic, the San Francisco Symphony, the Los Angeles Philharmonic, the Singapore Symphony Orchestra, the Hong Kong Philharmonic, and the Toronto Symphony—and has made recital tours in the United States, Europe, and Asia. In December 2005 he appeared for the first time in the International Piano Series in London, and he has performed with English orchestras including the London Philharmonic and London Symphony Orchestras, the Hallé Orchestra, the Bournemouth Symphony Orchestra, and the City of Birmingham Symphony Orchestra. In Scandinavia, he has performed with the Stockholm, Bergen, Gothenburg, and Helsinki orchestras and the Swedish Chamber Orchestra.
Trpčeski's first recital recording—an EMI Classics Debut Series compact disc including music of Tchaikovsky, Scriabin, Stravinsky and Prokofiev—received both the Editor's Choice and Debut Album awards from Gramophone magazine. Trpčeski shifted to EMI's main label with his second disc; it and its two successors comprise single-composer recitals of Rachmaninoff, Chopin, and Debussy respectively.
In both his concert appearances and his recordings, Trpčeski has received enthusiastic responses from critics and the public alike.
- December 2009,
- April 2005.
Disc of the Month (April) - BBC Music Magazine
- May 2003.
"Young Artist Award" awarded by the Royal Philharmonic Society
- April 2000.
"Millennium World Piano Competition London" - Second place
- December 1998.
World piano contest "Yamaha Music Foundation of Europe" in Skopje - First place
- September 2011
National artist of Macedonia - he is the first artist that got this award
- Rachmaninov 2010 - awarded Diapason d’Or de l’Année 2010
- On-air interview during broadcast of BBC's Radio 3 Live in Concert, 7 December 2011
- Pianist Trpceski receives Order of Merits for Macedonia - MINA
- San Francisco Symphony Orchestra performer profile of November 15, 2006 
- Biography on performer's Web page 
- Review of Music Toronto Concert, Tuesday, October 31, 2006, St. Lawrence Centre for the Arts, Toronto.