"Hey tweetos, Yes, its official, Did the naming ceremony today, our son is christened VIAAN RAJ KUNDRA. It means Full of life and energy," the 36-year-old tweeted Wednesday night.
Shilpa, who is married London-based Raj Kundra in 2009, gave birth to her son May 21. This is Kundra's second child - he has a daughter, Deleena, from ex-wife Kavita.
Kundra also introduced the son on micro-blogging site Twitter.
"Please welcome twitter's youngest user my son Viaan Raj Kundra. Be nice to him and he may reply," he tweeted.