He has studied harmony and classical piano in Barcelona. Afterward he studies jazz in Barcelona and New York with Fred Hersch, Barry Harris, Sal Mosca and Jackie Byard. He has played with Al Foster, Art Farmer, Harold Land, Kenny Wheeler, Seamus Blake, Arturo Stable, Mark Turner, Eddie Henderson, Sonny Fortune, Jesse Davis, Marc Johnson, Jeff Ballard, Guy Lafitte, Ed Thigpen, Oliver Jackson, Ralph Moore, Roy Hargrove, Idris Muhammad, Julian Arguelles y Scott Hamilton. He has played also with spanish musicians like Perico Sambeat, Chano Dominguez, Javier Colina, Albert Sanz and Guillermo Mcgill. He has participated in projects with flamenco musicians like Miguel Poveda and Chicuelo. Also he has made a fusion with andalusi music with Driss elMaloumi. He has participated in almost all the Jazz Festivals in Spain and he has performed as well in Europe, Morocco and Japan.
He plays now in trio with David Xirgu on drums and Masa Kamaguchi on acoustic bass. He also plays in duet with Horacio Fumero. He plays keyboards in a trio with Gary Willis and Gergo Borlai.
He has recorded as a leader in trio Live in Bilbao, Esmuc blues and Live in Jamboree, in duet with Horacio Fumero and solo piano in Old bottle, new wine. And as a side man in CD´s of Perico Sambeat, Gorka Benitez, Chris Kase, Bruce Arkin, Bob Sands, Xavi Maureta, etc.
He is professor at the Jazz Departments of the Music University of Catalonia (ESMUC) and the Conservatory of Liceu. Composer and performer of the soundtrack of the film "Tren de sombras" of Jose Luis Guerin.
Albert Bover is a "Steinway Artist" since March 2007.