On 17 August 1777 in Kópháza, Count Ferenc married Countess Julia Festetics de Tolna (1753–1824). Together, they were the parents of six children, including:
1. Count György Mária János Széchényi (1778–1778), who died in infancy.
2. Count Lajos Mária Alajos Dániel Ignác Széchényi (1781–1855), who married Countess Aloisia von Clam und Gallas.[4] After her death in 1822, he married Countess Franziska von Wurmbrand-Stuppach.[5]
3. Countess Franziska Karolina Széchényi (1783–1861), who married Count Maria Miklós Valentin János Baptist Alajos Batthyány.[6]
4. Countess Zsófia "Sophie" Széchényi (1788–1865), who married Count Ferdinánd Zichy-Vázsonykő.[7]
5. Count Pál Széchényi (1789–1871), who married Lady Caroline Meade, a daughter of Richard Meade, 2nd Earl of Clanwilliam.[8][9] After her death in 1820, he married Emilie Zichy-Ferraris.[10]
6. Count István Széchenyi (1791–1860),[2] who married Countess Crescencia von Seilern und Aspang in 1836.[11]
