Denmark was represented at the Eurovision Song Contest 1964 with the song "", composed by Aksel V. Rasmussen, with lyrics by Mogens Dam, and performed by Bjørn Tidmand. The Danish participating broadcaster, (DR), organised the 1964 in order to select its entry for the contest. In addition, DR was also the host broadcaster and staged the event at the in Copenhagen, after winning the with the song "" by Grethe and Jørgen Ingmann.
====== (DR) held the on 15 February at the Tivoli Concert Hall in Copenhagen, hosted by Bent Fabricius-Bjerre. Nine songs took part, with the winner chosen by postcard voting. Only the top 3 placings are known, and the fact that "" would seem to have gained a comprehensive victory as it received 43.8% of all votes cast (102,171 out of 233,465). Former Danish representatives Gustav Winckler, Raquel Rastenni, and Dario Campeotto were all back for another try.
On the night of the final Tidmand performed 4th in the running order, following and preceding . As with all performances from the 1964 contest apart from Gigliola Cinquetti's winning reprise, only an audio recording of Tidmand's performance is known to survive. Each national jury awarded 5-3-1 to their top 3 songs and at the close of voting "Sangen om dig" had received 4 points (3 from and 1 from Norway), placing Denmark 9th of the 16 entries. The Danish jury awarded its 5 points to Norway.
The members of the Danish jury were: Miss Sandfeldt-Jense (teacher from Sakskøbing), Christian Thorenfeldt (tourism promoter from Assens), Eva Hvistendahl (gymnasium student from Hobro), Tage Madsen (municipal director from Haderslev), Hans Christian Bærenholdt (painter from Helsingør), Jørn Erik Schreiner (tourism promoter from Odense), Knud Borch (contributing editor from Aarhus), Kjeld Arne Sørensen (deputy head of a logistics staff union from Copenhagen), (radio journalist) and (continuity announcer).