Support for the Nazis never disappeared entirely. There were around 70 neo-Nazi groups in Germany by the early 1960s. In 1964, there was a call for these to unite into a unified neo-Nazi party, the National Democratic Party (NPD).
The NPD emerged during a time of conditions making their revival appealing:
mid-1960s saw an economic recession - revived fears of the inter-war Depression
growing dislike of guest workers - seen as taking jobs from German workers
Germans were tired of feeling guilty - British historian David Irving studied the bombing of Dresden - argued all sides were guilty of atrocities during WW2
some reflected the apparent successes of the Nazi period - full employment, improved living conditions
The NPD enjoyed some electoral successes, especially in state governments. The party won 8/100 seats in the Hesse parliament in October 1966. However, it failed to break through into the Bundestag - the party's best result was to win 4% of the federal vote in 1969.
The NPD collapsed amid in-fighting. There were some reasons for its failure:
the NPD looked and acted like the NSDAP - NPD stewards beat up journalists at rallies, like the SA
the NPD harmed the FRG's international reputation
the recession that had fueled the growth of the NDP eased
Other groups such as the far right Republikaner Party emerged in 1983, but their support was limited. The most vociferous of whom tended to be working class, often till-educated and underemployed Germans, giving the party a poor reputation.