The Eurovision Song Contest 1964 was the 9th edition of the Eurovision Song Contest, held on 21 March 1964 at Tivolis Koncertsal in Copenhagen, Denmark, and presented by Lotte Wæver. It was organised by the European Broadcasting Union (EBU) and host broadcaster Danmarks Radio (DR), who staged the event after winning the 1963 contest for Denmark with the song "Dansevise" by Grethe and Jørgen Ingmann.

Broadcasters from sixteen countries participated in the contest. Portugal made its debut this year, whereas Sweden decided not to enter.

The winner was Italy with the song "Non ho l'età", performed by Gigliola Cinquetti, written by Nicola Salerno and composed by Mario Panzeri. At the age of 16 years and 92 days, Gigliola Cinquetti became the youngest winner of the contest yet; a record she held until 1986. The entry had one of the widest margins of victory ever witnessed in the competition, managing to garner almost three times as many points as the runner-up song. The United Kingdom, Monaco, Luxembourg and France rounded out the top five. Besides the 1956 contest, the 1964 contest is the only other one of which there are no complete surviving video recordings, with the exception of the winner's reprise performance.

Danmarks Radio (DR) staged the 1964 contest in Copenhagen, after winning the 1963 contest for Denmark with the song "Dansevise" by Grethe and Jørgen Ingmann. The venue selected was Tivolis Koncertsal (Tivoli Concert Hall), which lies within the amusement park and pleasure garden Tivoli Gardens. The park, alluding by its name to the Jardin de Tivoli that existed in Paris, was opened on 15 August 1843, and is the second oldest amusement park in the world, after Dyrehavsbakken in nearby Klampenborg. At the night of the contest, 800 spectators followed the show in the audience.

Broadcasters from sixteen countries participated in the 1964 contest. Of the sixteen countries that participated in 1963 only Sweden was absent. Sveriges Radio (SR) did not participate due to a strike among members of the Swedish Union for Performing Arts and Film (Swedish: Teaterförbundet). Portugal was represented in the contest for the first time, however it became the first country to score nul points on its début entry. Germany, Switzerland, and Yugoslavia also scored nul points for the first time. The Netherlands became the first country to be represented by a singer of non-European ancestry, Anneke Grönloh who was of Indonesian descent. Spain was represented by the Italian-Uruguayan group Los TNT who were the first group of three or more participants in the history of the contest.

Only one of the performing artists had previously competed representing the same country in past editions: Anita Traversi had represented Switzerland in 1960, and had also provided backing vocals for Switzerland in 1956.

Poul Leth Sørensen served as producer, Bent Fabricius Bjerre and Marianne Drewes acted as co-producers.

The prize to be awarded to the winning artist took the form of an engraved medallion made of silver.