Eugenie released an intimate photo on social media after the birth, showing the proud parents holding their son's tiny hand.
It's unclear whether the couple were heading to Prince Andrew's Windsor home or Frogmore Cottage, where they spent the final weeks of pregnancy in lockdown.
Baby was spotted in a £240 (NZ$460) Cybex car seat when leaving the hospital. Photo / Getty Images
The baby boy is Eugenie and Brooksbank's first child and Andrew and the Duchess of York's first grandchild.
As the baby is 11th in line to the throne, they won't get a royal title as only Queen's grandchildren automatically get one.