The BBC Radiophonic Workshop was one of the sound effects units of the BBC, created in 1958 to produce incidental sounds and new music for radio and, later, television. The unit is known for its experimental and pioneering work in electronic music and music technology, as well as its popular scores for programmes such as Doctor Who and Quatermass and the Pit during the 1950s and 1960s.

The original Radiophonic Workshop was based in the BBC's Maida Vale Studios in Delaware Road, Maida Vale, London. The Workshop was closed in March 1998, although much of its traditional work had already been outsourced by 1995. Its members included Daphne Oram, Delia Derbyshire, David Cain, John Baker, Paddy Kingsland, Glynis Jones, Maddalena Fagandini, Richard Yeoman-Clark and Elizabeth Parker, the last to leave.

The Workshop was set up to satisfy the growing demand in the late 1950s for "radiophonic" sounds from a group of producers and studio managers at the BBC, including Desmond Briscoe, Daphne Oram, Donald McWhinnie, and Frederick Bradnum. For some time there had been much interest in producing innovative music and sounds to go with the pioneering programming of the era, in particular the dramatic output of the BBC Third Programme. Often the sounds required for the atmosphere that programme makers wished to create were unavailable or non-existent through traditional sources and so some, such as the musically trained Oram, would look to new techniques to produce effects and music for their pieces. Much of this interest drew them to musique concrète and tape manipulation techniques, since using these methods could allow them to create soundscapes suitable for the growing range of unconventional programming. When the BBC noticed the rising popularity of this method they established a Radiophonic Effects Committee, setting up the Workshop in rooms 13 & 14 of the BBC's Maida Vale studios with a budget of £2,000. The Workshop contributed articles on their findings to magazines, leading to some of their techniques being borrowed by sixties producers and engineers such as Eddie Kramer.

In 1957, Daphne Oram set up the Radiophonic Workshop with Desmond Briscoe, who was appointed the Senior Studio Manager with Dick Mills employed as a technical assistant. Much of The Radiophonic Workshop's early work was in effects for radio, in particular experimental drama and "radiophonic poems". Their significant early output included creating effects for the popular science-fiction serial Quatermass and the Pit and memorable comedy sounds for The Goon Show. In 1959, Daphne Oram left the workshop to set up her own studio, the Oramics Studios for Electronic Composition, where she eventually developed her "Oramics" technique of electronic sound creation. That year Maddalena Fagandini joined the workshop from the BBC's Italian Service.

From the early sixties the Workshop began creating television theme tunes and jingles, particularly for low budget schools programmes. The shift from the experimental nature of the late 50s dramas to theme tunes was noticeable enough for one radio presenter to have to remind listeners that the purpose of the Workshop was not pop music. In fact, in 1962 one of Fagandini's interval signals "Time Beat" was reworked with assistance from George Martin (in his pre-Beatles days) and commercially released as a single using the pseudonym Ray Cathode. During this early period the innovative electronic approaches to music in the Workshop began to attract some significant young talent including Delia Derbyshire, Brian Hodgson and John Baker, who was in fact a jazz pianist with an interest in reverse tape effects. Later, in 1967. they were joined by David Cain, a jazz bass player and mathematician.

In these early days, one criticism^{[citation needed]} the Workshop attracted was its policy of not allowing musicians from outside the BBC to use its equipment, which was some of the most advanced in the country at that time not only because of its nature, but also because of the unique combinations and workflows which the Workshop afforded its composers. In later years this would become less important as more electronic equipment became readily available to a wider audience.

In 1963 they were approached by composer Ron Grainer to record a theme tune for the upcoming BBC television series Doctor Who. Presented with the task of "realising" Grainer's score, complete with its descriptions of "sweeps", "swoops", "wind clouds" and "wind bubbles", Delia Derbyshire created a piece of electronic music which has become one of television's most recognisable themes. Over the next quarter-century the Workshop contributed greatly to the programme providing its vast range of unusual sound-effects, from the TARDIS dematerialisation to the Sonic screwdriver, as well as much of the programme's distinctive electronic incidental music, including every score from 1980 to 1985.

In 2018 Matthew Herbert, creative director of The New Radiophonic Workshop, composed the sting used alongside the reveal of the new Doctor Who logo debuting later that year.