Shahid took to Twitter to share the news with his fans.
"She has arrived and words fall short to express our happiness.Thank you for all your wishes," Shahid tweeted on Friday night.
She has arrived and words fall short to express our happiness. Thank you for all your wishes.
— Shahid Kapoor (@shahidkapoor) August 26, 2016
The 35-year-old, son of veteran actor Pankaj Kapur, married Delhi-based Mira, 22, last year.
Congratulatory messages came the couple's way from Bollywood celebrities soon after Shahid announced the arrival of his bundle of joy.
Actor Riteish Deshmukh tweeted: "Congratulations @shahidkapoor and Mira on birth of an angel. Welcome to the club my friend. Love and blessings to the little one."
Congratulations @shahidkapoor & Mira on birth of an angel . Welcome to the club my friend. Love & blessings to the little one.
— Riteish Deshmukh (@Riteishd) August 26, 2016
His wife Genelia shared: "Congratulations Shahid Kapoor and Mira. It's the world's best feeling and I'm sure you already know how it is.. Lotsa love to the little one."Filmmaker Karan Johar also wrote: "Huge congratulations to @shahidkapoor and Mira....nothing more precious than a baby girl....lots of love."
Congratulations @shahidkapoor and Mira ... It's d world's best feeling and I'm sure u already know how it is.. Lotsa love to the little one
— Genelia Deshmukh (@geneliad) August 26, 2016
Actor-anchor Manish Paul also wished the couple all the best.
"Congraaaaaats @shahidkapoor!!!! Welcome to the club!!! Love to the little one!!! And super hug to the parents!!!"
Congraaaaaats @shahidkapoor !!!! Welcome to d club!!! Love to the little one!!! N super hug to the parents!!!
— Manish Paul (@ManishPaul03) August 26, 2016
On the sidelines of the ongoing Lakme Fashion Week Winter-Festive 2016, actress Jacqueline Fernandez said: "I would like to congratulate Mira and Shahid for the new addition to their family. It's lovely."
Shahid and Mira had met at a 'satsang' as both their families are followers of the religious group Radha Soami Satsang Beas, a philosophical organisation based on the spiritual teachings of all religions.
In April this year, Shahid had announced that he was going to be a dad soon.