They welcomed daughter Lea de Seine on March 21, 2017.
And on Thursday, Bradley Cooper and Irina Shayk took their daughter for a bit of shopping before stopping for lunch in Century City, California.
The movie star, 43, and the 32-year-old Russian model were spotted doting on their 11-month-old.
Bradley looked handsome in his bomber jacket with black jeans, adding Nike sneakers from the Riccardo Tisci collection.
The bearded actor carried their daughter while Irina was seen pushing a cart full of groceries.
Irina cut a casual figure in a black dress with a denim jacket, adding tan colored boots.
One day earlier, the doting mom went out with Lea for some quality mommy and daughter time.
So sweet: Cooper carried their daughter while rocking a bomber jacket
Daddy's girl: The American Hustle star then carried Lea on his shoulders
The stunning model was spotted on a stroll with her daughter in Los Angeles on Wednesday.
Irina looked typically chic in a long brown cashmere coat over a floral midi dress along with brown leather knee-high boots.
Her brunette tresses were pulled back in a messy bun as she let her natural looks shine with complimentary makeup topped off with mauve lip.
Lea - who turns one next month - looked adorable all bundled up in a white fleece onesie.
Model mother: Irina was spotted planting kisses on her adorable 11-month-old daughter Lea while out in Los Angeles on Wednesday
Beautiful moment: The 32-year-old Russian model could not keep her lips off the bundle of joy
Bradley did not join his beau and their daughter for a stroll in the city.
The equally-attractive duo began dating in 2015, after both left previous long-term relationships.
Bradley was previously dating model Suki Waterhouse and Irina, with soccer star Cristiano Ronaldo.
Pretty as a petal: Her brunette tresses were pulled back in a messy bun as she let her natural looks shine with complimentary makeup topped off with mauve lip