Arturo Muruzábal was born in Spain into a family of musicians. He received his first cello lessons from Enrique Correa, a former student of Cassadó. After only four years of study, he played  the Saint-Saens and Boccherini Cello Concertos with the Spanish Radio and Television Orchestra. After finishing his studies in Spain, he moved to Germany where he worked with Professor Marcial Cervera (cello) and Nicolás Chumachenco (chamber music), and also took lessons from André Navarra. Back in Spain, he became principal cellist of  the Spanish Radio and Television Orchestra, where he played under Celibidache, Igor Markevitch, Lorin Maazel, Eliahu Inbal and many others.

He has played the Elgar Cello Concert, Richard Strauss’s Don Quichot, Beethoven’s Triple Concerto and important world premieres from Spanish composers such as  Jose Luis Turina and others. In 1989, Arturo Muruzábal moved to the Netherlands and became principal solo cellist with the Netherlands Radio Philharmonic Orchestra. He played the  Dutch premiere of Olivier Messiaen’s last work, Concert a quatre, working together with Messiaen’s widow, Yvonne Loriod. He played Penderecki’s Second Cello Concerto with the composer conducting, a performance which was broadcast throughout the whole European continent. Muruzábal also recorded the three cello concerts from the Dutch composer Julius Rontgen with Paul Watkins as conductor. As a teacher he has given master classes in the Netherlands, Spain, Brazil and the USA.  As a committed champion of  contemporary music, he founded the Academy for New Music in Madrid, together with the Spanish conductor Arturo Tamayo.

Until recently, Muruzábal was solo cellist with the Dutch Radio Chamber Filharmonic. He plays on a Contreras cello built in the eighteenth century.