Franz Ulrich was born at Vienna, Federal State of Austria, as the youngest son of Ulrich, 10th Prince Kinsky of Wchinitz and Tettau by his second marriage to Baroness Marie Julia Mathilde von dem Bussche-Haddenhausen (1900-1974), the eldest daughter of Baron Hilmar von dem Bussche-Haddenhausen.
[1] His father was previously married to Countess Katalin Széchényi de Sárvár-Felsövidek (1893-1968), with whom he had three children.
He was first cousin of Countess Marie Aglaë Kinsky of Wchinitz and Tettau who later became Princess consort of Liechtenstein, and second cousin of Claus von Amsberg, Prince consort of Queen Beatrix of the Netherlands, both descendants of Baron Julius von dem Bussche-Haddenhausen.
Since 2003, Franz Ulrich complained against various Czech courts for the return of the assets.
They had one son: He married secondly on 24 October 1977 in Paris to Countess Helena Victoria Hutten-Czapska (1941-2012), the only daughter of Count Stanislaus Hutten-Czapski (1898-1959) and his wife, Verena Narkiewicz-Jodko (1909-1992).