The Take That star released a statement on Monday (August 6) confirming that his fourth child with wife Dawn had been delivered stillborn two days earlier.
Members of the public and a host of celebrities, including the X Factor judge's bandmate Robbie Williams, offered their condolences following the tragic news.
Breaking his silence on Twitter, Barlow wrote this morning: "Your kind words and lovely messages are overwhelming. thank you."
Gary and Dawn, who married in 2000, welcomed their third child Daisy in 2009.
The pair are also parents to Daniel, 12, and Emily, 10.