Shilpa, who married London-based businessman Raj Kundra in 2009, gave birth to her first child in May 2011.
Shilpa, who was one of the judges on 'Nach Baliye', had to skip shoot when Viaan fell ill in February.
Shilpa Shetty and her husband Raj Kundra tweeted in June last year that their baby boy will be known as Viaan Raj Kundra.
Rajasthan Royals owner Shilpa Shetty with her baby and sister Shamita Shetty during a match of the Pepsi Indian Premier League 2013 between the Rajasthan Royals and the Kolkata Knight Riders held at the Sawai Mansingh Stadium in Jaipur on April 8, 2013.
Raj Kundra said the name Viaan means full of life and energy.
Viaan Raj Kundra is also among the youngest Twitter users. Raj Kundra said his son already had a Twitter account.
Shilpa Shetty had met Raj Kundra after her win on the British reality show Big Brother in 2007.
Shilpa and Raj got married in 2009. Shilpa was first spotted at the Jodhpur airport with her husband and 4-months-old son in September 2012.
Rajasthan Royals owner Shilpa Shetty brought her son Viaan out in public for the first time during a match of the Pepsi Indian Premier League 2013 between the Rajasthan Royals and the Kolkata Knight Riders.