The winger, from Cardiff, announced news of her arrival on Twitter on Tuesday.
Last week it was reported he could miss Wales' Euro 2016 warm-up game in Ukraine to be with partner Emma Rhys-Jones for the birth.
Bale said he was "delighted to welcome another beautiful baby daughter".
Wales and Real Madrid footballer Gareth Bale has become a father for the second time following the birth of his daughter Nava Valentina.