Denmark selected their entrant for the Eurovision Song Contest 2004 in Istanbul, Turkey through the Dansk Melodi Grand Prix 2004. The final was held in the Aarhus Kongrescentrum in Aarhus on 7 February 2004 and was hosted by Natasja Crone and Peter Mygind. After missing out on the 2003 contest, DR returned to the format of 2002, with one final and no semi-finals. A total of 315 songs were submitted, with 10 songs being selected to compete. All songs had to be sung in Danish and translated into English for Eurovision.

The winner was chosen in two rounds of voting - in the first round, the top 5 songs were selected by televoting. After they'd been performed again, the winner was chosen by 4 televoting regions and SMS voting. The winner was Thomas Thordarsson with the song "Sig Det' Løgn", which was translated into and sung in English as "Shame on You".

The positions of the other five entries were never announced.

Due to missing the 2003 contest, Denmark had to compete in the semi-final of the Eurovision Song Contest 2004. Thordarsson sang in the 19th position, following Croatia and preceding Serbia and Montenegro. At the close of the voting, the song had received 56 points, placing 13th in a field of 22. Denmark did not qualify to the final.

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