The baby girl, who weighed in at 7lbs 10oz, was born this morning at Cedars Sinai Medical Center in Los Angeles.
Simon Oliveira, David Beckham's PR representative, confirmed on Twitter: "David & Victoria Beckham are delighted to announce the birth of their daughter.
"Happy and healthy she arrived at 7.55 am this morning at Cedars Sinai hospital in Los Angeles and weighed 7lbs 10oz. Brooklyn, Romeo and Cruz are excited to welcome their new baby sister to the family."
The footballer and former Spice Girl already have three sons together - Brooklyn, 12, Romeo, 8, and 6-year-old Cruz.
The child's name has not yet been revealed, but the 37-year-old fashion designer denied reports in April that the new baby will be called Santa.
Victoria previously said that she didn't take maternity leave prior to the birth of her daughter.
