The "Crazy in Love" hitmaker took to Instagram to share the picture of the card by her three-year-old daughter, who drew a big cake with four candles on it, reported Female First.
"Thank you from the bottom of my heart for all my birthday wishes," she captioned the photo.
Blue and her father rapper Jay Z, also surprised the star by naming their favourite songs that remind them of the singer in a post on her official website.
Jay, 45, dedicated Coldplay's "Yellow".
"This song reminds me of you and I on vacation. 'Look at the stars, look how they shine for you.'
"So many legendary nights. It represents vulnerability; it's us in our own world, away from work and totally lost in love. 'For you, I'll bleed myself dry,'" he wrote.