The BBC Radio 4 UK Theme is an orchestral arrangement of traditional British and Irish airs compiled by Fritz Spiegl and arranged by Manfred Arlan. It was played every morning on BBC Radio 4 between 23 November 1978 and 23 April 2006.

The piece was used as the signature theme to introduce the daily beginning of Radio 4's broadcasting following the early morning handover from the BBC World Service. The theme was immediately followed by the Shipping Forecast. In 2006, the decision by Mark Damazer (Controller of Radio 4 at the time) to drop the Radio 4 UK Theme to make way for a "pacy news briefing" caused much controversy in the United Kingdom, including extensive discussion in the British media and even in Parliament.

Austrian-born Spiegl moved to the UK as a refugee in 1939, after his parents fled Nazi persecution of Jews after the Anschluss. He had contributed several pieces of music to the BBC, including a theme for Radio 4 based on a children's skipping rhyme introduced in 1973 (called A Skipping Tune), which was replaced by the Radio 4 UK Theme.