This is the couple's first child and they have decided to name her Diani Isabella Khan.
Many Bollywood stars took to Twitter to congratulate the new parents.
Jewellery designer Farah Ali Khan, who is Fardeen's cousin, wished the couple on the arrival of their baby.
"Woke up to wonderful news. My cousin Fardeen and his wife Natasha were blessed by a beautiful baby girl Diani Isabella Khan yesterday. God bless my little niece with loads of health wealth and happiness. Congratulations to the parents," Farah posted on Twitter.
Director Ken Ghosh, who worked with Fardeen in 'Fida' also congratulated him and his wife for their bundle of joy.
"Congratulations Fardeen and Natasha Khan on the birth of a beautiful baby girl Diani Isabella Khan. God bless," Ghosh tweeted.
Fardeen had announced the news of his wife's pregnancy back in October. Natasha, who is the daughter of yesteryear actress Mumtaz, previously suffered a miscarriage.
