The Wales legend, who captained the Lions on both the 2013 and 2017 Tours, confirmed the news on his social media channels – sharing a picture of him carrying the newborn.
Warburton’s caption also revealed the name of their son, Max James Kennedy-Warburton.
The couple’s first child, Anna Victoria, was born in July 2016 just a couple of weeks after Warburton returned from captaining Wales on a tour of New Zealand.
Welcome Max James Kennedy-Warburton 👨👩👧👦😍 pic.twitter.com/hPrDf77ZNa
— Sam Warburton (@samwarburton_) August 10, 2020
The 31-year-old, who earned 74 caps for Wales over an eight-year international career, married long-term partner Rachel in July 2014 at Celtic Manor.
Warburton hung up his boots in the summer of 2018 after leading the Lions to a historic drawn series against then world champions New Zealand a year earlier.
He has since become part of Wayne Pivac’s coaching set-up, with the former openside brought into the national team as technical advisor at the breakdown and in defence.