The Welsh frontman announced on the band's Twitter account he and his wife Jakki Healy became parents to a girl named Riley, their first child together, earlier in March (16).
"Hi! Our baby girl Riley is 10 days old, " he writes. "She'll be bringing guitars on stage like her elder sisters very soon! Kelly."
After five years of dating, Jones married the MTV journalist in Ireland in 2013 in front of guests including Paul Weller, actor Rhys Ifans, and Rolling Stones veteran Ronnie Wood.
The 41-year-old has two daughters Lolita, 11, and Misty, nine, from a relationship with interior designer Becka Walters.