Yash Raj Films, headed by Aditya, made the announcement on their official Twitter account.
"Rani Mukerji and Aditya Chopra become proud parents to a baby girl named 'Adira'," the post read.
Aditya's younger brother Uday Chopra and friend Karan Johar alos shared the news on Twitter.
"IT'S A GIRL!!!" tweeted Uday.
"Am an uncle to a beautiful baby girl today!!! @udaychopra!! Rani and Adi had a baby girl!" wrote Karan.
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Actress Parineeti Chopra, who made her debut under the YRF banner, also congratulated the couple, writing, "IT'S A GIRL!!!! So so excited baby Adira is born !! #Adi #Rani."
Rani, 36, and Aditya, 42, secretly tied the knot in April last year in Italy.
It is the first marriage for Rani while Aditya, who is known to be a very private person, was previously married to Payal Khanna but they got divorced in 2009.