In one, the newborn is swaddled in a blanket, and gazes at the camera with his blue-grey eyes – which are the same shade as his mum's.
"Baby Luca, 2 weeks old :)," reads the caption.
Hilary followed this up with another snap, and she commented: "Oh no! The flood gates have opened! Proud mamma on the loose! I can't help myself."
The 24-year-old actress and her husband, former ice hockey pro Mike Comrie welcomed little Luca on March 23.
Hilary tweeted her fans when she gave birth saying: "Welcome to the World Luca Cruz Comrie! Tuesday evening, we became proud parents of a healthy 7 pound 6 ounce beautiful boy."
She has admitted to her fans she has been finding it difficult to get back into shape after having Luca.
When one complimented her on looking good two weeks after the baby's arrival she wrote: she wrote: "You should have seen what I looked like last week.
"Eek surprised I still have a husband!! It was time to throw them heels on ;) guurl."