It was the first wedding in Tirana of a member of the deposed royal family since 1938. Leka's grandfather Zog I, fled when Italian Fascist troops invaded Albania in 1939, a year after his wedding with Hungary's princess Geraldine Apponyi.
The royal family was forbidden to return until the fall of communism in 1990.
Albania was isolated during the communist era and closed to the outside world and the descendants of Zog were considered traitors.
More than 20 current and erstwhile royals attended, including Spain's Queen Sofia, Iran's former empress Farah Diba, Prince Mihailo Karadjordjevic of Yugoslavia and Princess Margarita of Romania.
Prince Leka, 34, is a graduate from Britain's Sandhurst military academy, and is an adviser to Albania's foreign minister.