“We would just like to thank everyone for their love and prayers over these past couple of weeks,” the actress and her singer husband, Keith Urban, said in a joint statement posted Tuesday on Facebook.
“We are all heartbroken, but knowing we are in the hearts and thoughts of others is so comforting,” they added.
They signed off: “Sending love, Nic and Keith xx.”
The 75-year-old was in Singapore to visit his other daughter, Antonia, and her family.
Authorities did not reveal the cause of his death.