Held at the Usher Hall, the much-loved event was staged here after Monaco, who the competition won in 1971, were unable to meet the huge demands of hosting the show and could not find a suitable venue.
Taking place on March 25, 1972, Eurovision was hosted by Scottish ballet dancer Moira Shearer and screened on the BBC.
Representing the UK that year were The New Seekers with the song Beg, Steal Or Borrow.
Up against 17 other countries, they were respectable runners-up to Luxembourg's Vicky Leandross, whose song Apres Toi garnered 128 points to the UK's 114.
Take a look through our photo gallery for a nostaligic trip back to when Eurovision came to the Capital.
Representing the UK that year were The New Seekers with the song Beg, Steal Or Borrow.