After winning the William Hardcastle Award for Journalism, Klein began her professional broadcasting career as a presenter on the Canadian Broadcasting Corporation's radio and TV services. She returned to the UK to work for the BBC as an assistant producer at Radio 4 on programmes including Start the Week and Loose Ends. She then moved to BBC Television, working as a director and producer on a range of arts and music films. Klein became a presenter in 2005, when she was listed in The Guardian's "25 up-and-coming cultural figures". In 2008, she presented The Proms season on BBC Two. She has also presented the BBC Two programmes The Culture Show, BBC Young Musician of the Year and The Review Show. Klein currently hosts Radio 3's drivetime show, In Tune, alongside concerts and events. She has been one of the lead voices on the station's major campaigns of recent years, including its celebrations of the complete works of Mozart and Schubert. In 2011, Klein presented the first ever live opera in 3D, hosting the Director's Cut with Mike Figgis – a live, three-hour discussion with the director about his new production of Lucrezia Borgia. For Sky Arts, Klein hosted the flagship performance programme Greats at Eight, weekday evenings on Sky Arts 2. She also presented Aida from the Royal Albert Hall for the broadcaster and The Rosenblatt Recitals in summer 2013. In 2013 she was named Music Broadcaster of the Year, winning the Silver Prize at the Sony Awards. She co-presents Saturday Live on BBC Radio 4 and has made a documentary for the station about fear and phobias. She has presented global opera broadcasts for the Royal Opera, London, and hosts of all of the global cinema broadcasts of the Royal Shakespeare Company, including three live shows for 2014. In April 2014 she presented the BBC Fourtelevision documentary series Rule Britannia! Music, Mischief and Morals in the 18th Century and in 2016 Revolution and Romance: Musical Masters of the Nineteenth Century, a three-part BBC Four series. She has since made a series for the BBC on music and politics in the 19th century, and a three-part series on the history of popular entertainment. In December 2016, she co-presented a film on the musical theatre classic West Side Story, with Bruno Tonioli for BBC2. In 2020 Klein presented the BBC Four documentary series Tunes for Tyrants: Music and Power with Suzy Klein, in which she explored music's crucial role "in the most turbulent years of the 20th century."
Voiceover
Klein has done a broad range of voiceover work, from BBC One primetime documentaries on Pink Floyd and The Carpenters to a three-part series on Brazil, and an Arts TV series for BBC Four.
Writing
Klein is a contributor to the features and review pages of New Statesman, BBC Music Magazine and The Guardian. She co-authored a book with her sister, Jacky Klein, entitled What is Contemporary Art? A Children's Guide, commissioned by the Museum of Modern Art, New York, and published in September 2012 by Thames & Hudson. It has been translated into seven languages.
Personal
Klein is married with two children and lives in Shepherd's Bush, west London.