He captioned the posts: "Happy 1st Birthday mama "Birthday girl "That arm tho "Love You happy baby (sic)".
In the super cute pic, Rob could be seen wearing his signature LA Dodgers fitted hat as he held his baby girl high up in the air over his head.
They now share custody of Dream after a nasty fall-out in July when Rob went on a social media rampage against the former stripper, posting explicit photos of her.
We also got a peek the birthday girl's wonderful presents, which including a classic rocking horse (complete with a pink ribbon tied around its neck, natch), as well as not one, but TWO toy cars, one of which was - get this! - a mini Mercedes.
It seemed like Dream's first birthday party was attended by Rob's famous family.
Dream will soon have three new cousins to celebrate milestones with.
Dream was presented with not one, but two birthday cakes on her special day, with the first adorned with edible pink roses, as the other delicious delight featured a photograph of Dream's face on the icing.
Aunties Khloe and Kim celebrated with their niece.
"Aunty KiKi & Dream", Kim posted another snap of her and her niece.
While Kardashian revealed, "We're having a baby!" in a season 14 teaser for Keeping Up With the Kardashians, she has otherwise remained quiet about 4-year-old North and 22-month-old Saint's new baby sister. "I love you so much, lovely girl!"
Blac Chyna put together an elaborate, mermaid-themed bash for Dream the next day. Her dad threw her the biggest party and the whole family was there.