One of the photos was snapped when Louis was just three days old. He was born April 23 and went home the same day.
The two snapshots were released by Prince William and his wife Kate, the Duchess of Cambridge, and were taken by Kate at their home in Kensington Palace. Big brother Prince George, 4, is not in the photos.
A palace statement said Sunday that William and the duchess are "very pleased" to share the photos.
It said the royal couple want to thank the public for "all of the kind messages" received since Louis' birth.
This image of Prince Louis was taken by The Duchess of Cambridge at Kensington Palace on 26th April.
The Duke and Duchess would like to thank members of the public for their kind messages following the birth of Prince Louis, and for Princess Charlotte’s third birthday. pic.twitter.com/bjxhZhvbXN