This is the third child for Azrinaz, who was previously married to the Sultan of Brunei.
She remarried in May last year after the 2010 divorce.
Azrinaz, who had a normal delivery, said she was grateful that it all went smoothly.
The baby girl weighed 2.75kg.
Azrinaz has a daughter and a son with the Sultan of Brunei during their five-year marriage.
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