According to Hollywood Life, the photos were sent to family and friends only, and first leaked online on Twitter.
The adorable images, a selfie and a photo of Kunis, Kutcher and Wyatt dressed as piggies, are the first to be published of the couple's daughter, who was born on Oct. 1.
A third image finds Kutcher carrying a teddy bear onesie-clad Wyatt in a baby sling.
Kutcher and Kunis have notoriously kept their relationship and their daughter from the public eye, but the Two and Half Men actor shared a picture of his daughter, along with several other babies, on his blog days after Kunis gave birth.
"Can you guess which one is ours, or does it really matter?" he wrote at the time. "All babies are cute."