The 56-year-old "Happy New Year" actor is reportedly going a little slow on work so that he can spend more time at home with his grandson.
Earlier, Boman took to Twitter to announce the arrival of the newborn.
Danesh and Reah tied the knot in 2011. Boman and wife Zenobia also have another son, Kayoze Irani, who is a Bollywood actor. Kayoze has appeared in films like "Student of The Year" and "Youngistaan".