The Britain's Got Talent judge gave birth to her second child with husband Chris Hughes last month, before collapsing and losing a substantial amount of blood, causing her to spend two weeks in hospital.
"Hollie is absolutely beautiful and the four of us are so happy together as a family," she said in a statement. "We feel complete."
Holden went on to praise the medical staff who treated her and the baby during her recovery, and that she is glad to be back at work on the ITV talent show.
"I'm in a fortunate position in that I have a strong support network of family and friends around me," she explained.
"My medical care was fantastic. I'm now feeling completely well despite everything I've been through. I'm just happy to be back to normal and heading back to work."
The actress had previously described her return to Britain's Got Talent as "euphoric".
> Amanda Holden 'has never been happier' since baby joy
