The baby was born in Monday, January 25, and the couple has named her Lola Rose Emma, reported Female First.
Sharing the good news with his fans on Twitter, the 30-year-old musician wrote, "Lola Rose Emma Judd entered the world at 8:43pm 25/1/16. Both Mummy and Lola are doing very well. Izzy is my hero and I love my girls."
The couple, who wed in 2012, previously revealed that they had struggled to conceive after Izzy was diagnosed with polycystic ovaries and suffered a miscarriage in 2014.