Applications of this nature have multiplied by 40 since the referendum of the EU, from 43 in 2015, to 684 last year and 1,667 this year.
A clause in the German constitution of 1949 offers citizenship to anyone who has lost their nationality due to "political, racial or religious reasons" between 1933 and 1945, including descendants.
This means that the usual requirements for obtaining German citizenship, such as long-term residence and civic and language tests, do not apply to these applicants.
The executive director of the Jewish Refugee Association of the United Kingdom, Michael Newman, said the sudden increase in requests was certainly due to Brexit.
He said: "For some this is mainly about practical considerations. They are worried about their ability to work and travel.
"For others, it's about claiming something that belonged to them or their parents. It's part of their identity. "
He claimed that others see their applications as a "protest against Brexit."
When the Nazis were in power between 1933 and 1945, they stripped many individuals of their citizenship, including Jews who left the country.
They also revoked the citizenship of political dissidents and many prominent intellectuals, scientists and writers, including Bertolt Brecht and Albert Einstein.
Mr. Newman said there was a "deep irony" that descendants of Jewish refugees sought citizenship from the nation that persecuted and murdered members of their families.
He added that the problem continues "dividing families", with some discrepancies on whether to apply or not.
Konstantin Kuhle, a member of the German parliament for the Free Democratic Party, obtained these numbers in response to a question to the government.
He said: "This is not surprising given the chaotic line of negotiation of the British Government's Brexit."
Applications for German passports among UK citizens living in Germany are also increasing, and according to federal statistics, citizenship granted to UK citizens last year increased by 162 percent.
This comes amid a general increase in EU passport applications since the EU referendum in 2016.