- Children by Joan Yarde-Buller: Karim Al-Husayni (b. 13 December 1936), Amyn Muhammad (b. 12 September 1937). Because of his antics, including his very public affair with Gene Tierney, his father nominated Karim to succeed him. On 11 July 1957, Karim became Aga Khan IV, the 49th hereditary Imam of the Shia Imami Ismaili Muslims.
- Great-grandson of Aga Khan I. Grandson of Aga Khan II. Son of Aga Khan III.
- Father of Yasmin Khan. Who was born in Lausanne, Switzerland.
- Father of Aga Khan IV. Prince Karim Aga Khan IV.
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