Count Franz von Klebelsberg zu Thumburg (Czech: František Josef z Klebelsbergu) (24 July 1774 in Třebívlice – 28 December 1857 in Třebívlice) was a Bohemian nobleman, official of the Austrian Empire, Governor of Lower Austria and President of the Hofkammer (Court Chamber).
He was also a passionate collector, as he owned a significant number of coins, medals and engravings.
Born into the Bohemian noble family of Tyrolian origin, he was the son of Count Adalbert Wenzel Malachias Karl Borromäus von Klebelsbelrg und Thumburg (1738-1812), a regional judge in the Kingdom of Bohemia, and his second wife, Countess Antonia Kolowrat-Krakowska (1737–1799).
He was made vice-president of the Moravian-Silesian Region in 1825 and gubernium (equivalent to the modern post of deputy governor) of Bohemia in 1827.
He was also made a privy councillor in 1827, then governor of Lower Austria the following year.