In 2007, Kulibayev became the owner through Kazakhstani investor Kenes Rakishev of Prince Andrew's former Sunninghill Park or the Dallas Palace for $19.7 million or $4 million over the asking price after Fergie and their daughters left the property in 2006. In 2016, after demolition of Sunninghill Park, a 14-bedroom mansion was built in its place.
He is married to Dinara Nursultanovna (née Nazarbayeva), daughter of Kazakhstan's long-time president Nursultan Nazarbayev. They have three children: a son Altay, and daughters Deniza and Alishya. He has an additional two illegitimate children with entrepreneur and socialite Goga Ashkenazi, both sons: Adam, born in 2007, and Alan, born in 2012.