“Here's lookin at you kid,” the 36-year-old wrote over an adorable image of Hayes, who was born on New Years Eve.
The actor shared a video of a hot cup of coffee with the caption: “Up every 2.5 hours round the clock.”
She’s kept it real about the struggles of the “newborn mum life” with a selfie.
“A hot shower and a little makeup to make me feel human.”
Alba also shared the eating plan that she says will "nourish my postpartum body".
Hayes is the third child for Alba and her husband Cash Warren, joining big sisters Honor, 9, and Haven, 6.