The German participating broadcaster on behalf of ARD, Westdeutscher Rundfunk (WDR), selected their entry through a national final.
The national final was held on 6 February at the Kleine Westfalenhalle in Dortmund, hosted by Anaid Iplikjan and Kurt A. Jung.
[1] On the night of the final Hielscher performed 8th in the running order, following Belgium and preceding Austria.
Hielscher's performance in 1957, when she had sung into a telephone receiver, is credited as the first to introduce a visual performance element into Eurovision, and she followed this in 1958 by appearing onstage wearing a tiara and a sash proclaiming her 'Miss Juke Box', while manoeuvring a stack of records in her hands as she sang.
At the close of voting "Für zwei Groschen Musik" had received 5 points, placing Germany 7th of the 10 entries.