A district court ruled Tuesday of last week that Lauck's written and verbal attacks on Jews violated Danish anti-racism laws, allowing for the extradition.
If the extradition occurs, Lauck will face charges of smuggling banned hate literature into Germany for two decades.
Lauck, 41, was arrested March 20 in Denmark at the request of German police. Heis the leader of the National Socialist German Workers' Party-Foreign Organization, a name derived from the official name of the party of Adolf Hitler.
Dubbed the "Farm-Belt Fuehrer" by the Anti-Defamation League, Lauck set up his base in Lincoln, Neb., from which he shipped anti-Semitic and racist literature to Germany, which bans the use or publication of Nazi symbols or ideology.
"Bringing Lauck to justice will send a clear message around the world that Nazism, anti-Semitism and racism will not be tolerated," said Abraham Foxman, ADL national director.
Lauck has said his group is heir to the Nazi party and that Hitler was "too humane." His group's publications include Nazi magazines in a dozen languages. Lauck, who served four months in a German jail in 1976 for distributing Nazi propaganda, has served as editor of a German-language newspaper called NSKampfruf, which means "Nazi battle cry."