The 37-year-old dressed Bunny in a pink tutu, white and pink converse-style trainers and a gold and pink sparkly party hat with the number one on the front.
In the caption for the photo Price uploaded of her and her husband Kieran Hayler kissing their daughter, she wrote: "Our gorgeous Bunny Boo Boo on her 1st birthday today!"
Price also shared a photo of Bunny playing with her birthday present: her first pushchair and doll (and it's all pink, of course).
Price also recently posted a rare snap of her cuddled up on the sofa with all five of her children - Harvey, 13, Junior, 10, and Princess Tiaamii, eight, 20-month-old Jett and baby Bunny.
She wrote in the caption: "Love Sundays with the kids board games movies pizza delivery and cuddles!"