The Hollywood mum has taken to Twitter to share a very cute snap of little Arthur and proud dad, Jason Bleick.
The adorable picture was uploaded under the caption: 'My boys' and shows Jason and Arthur cuddled up asleep on the sofa together.
Selma joins other celeb parents, including Victoria Beckham, Myleene Klass and Matt Bellamy in shunning big magazine bucks and choosing to tweet newborn shots instead.
How cute are Arthur and Jason? Here's a few of our other favourite famous dads...