"Adam and Mariana Clayton are delighted to announce the birth of their handsome baby girl Alba", they wrote in the announcement, declining to provide any additional details of when or where she was born.
It reads: "Adam and Mariana Clayton are delighted to announce the birth of their lovely baby girl Alba".
The couple announced their new arrival, a daughter named Alba, in a personal advert in the Irish Times on Tuesday (25Jul17).
Details of where and when Alba was born have not yet been shared.
Adam's U2 bandmate Bono revealed the couple were having a child together when the "Beautiful Day" singers brought their "Joshua Tree Tour" to Twickenham Stadium in London on July 8, telling the sold-out crowd that the pair were expecting a baby.
Speaking in between songs Bono asked the audience: "Is Adam Clayton not a sexy man?" which prompted huge cheers and wolf whistles. "Is your sexy woman here tonight?", and the 57-year-old nodded in reply.
When Clayton nodded yes, Bono added: "And expecting a baby, can I say that?"
Unsurprisingly Adam says "no" which left Bono saying, "Forget I said that!" and mouthing the word "sorry" to Adam.