The music is "Music for the Funeral of Queen Mary - March" by Henry Purcell 1659-1695
A Clockwork Orange is a 1971 darkly satirical science fiction film adaptation of Anthony Burgess's 1962 novel of the same name. The film concerns Alex DeLarge (Malcolm McDowell), a charismatic, psychopathic delinquent whose pleasures are classical music (especially Beethoven), rape, and ultra-violence. Directed by Stanley Kubrick Distributed by Warner Bros.
Taken from the Blu-Ray version of the movie released in 2007.