Kunal, 37, took to Twitter to thank fans for their warm wishes on the nuptial.
"Thank you for all your warm wishes on our wedding!" he tweeted along with a picture of the wedding venue.
The couple got engaged in February last year.
Naina, an investment banker by profession, is the daughter of Delhi-based socialite Ramola Bachchan and Amitabh's younger brother Ajitabh Bachchan.
The couple were dating each other from quite some time.