Baby Flynn arrived on Jan. 6, weighing 9 lbs., 12 oz., says the model on her Kora Organics Web site on Tuesday, confirming widespread speculation. She also posts a photo of herself nursing "our beautiful little son."
"I gave birth to him naturally; without any pain medication and it was a long, arduous and difficult labour, but Orlando was with me the whole time supporting and guiding me through it. I could not have done it without him," she adds.
"We are so happy and are enjoying our time together as a family. He is our little ray of sunshine. Thank you everyone for your beautiful well wishes and your lovely thoughts."
Kerr and Bloom, 33, have been together since 2007 and married quietly in July 2010.