Uma Thurman was out and about Friday with her one-month-old daughter.

The actress hasn't revealed the baby's name yet, but the newborn looked cute as a button as she slept in her mother's arms, wrapped in an owl-patterned baby blanket.

CLICK HERE to see the photos of Uma's new bundle of joy.

Mother and daughter took a stroll through New York City's Midtown area. Thurman was make-up free and wore her blonde locks in a braid.

The baby is 42-year-old Thurman's first with her current boyfriend, financier Arpad Busson, but she's joining a big family. Thurman has two other children - Maya, 13, and Levon, 10 - from her previous marriage to actor Ethan Hawke. Busson has two children with ex Elle Macpherson - Arpad Flynn Alexander, 14, and Aurelius Cy Andrea, 9.

Thurman and Busson first began dating in 2007. The couple faced a rough patch and slit briefly in 2009, but they later rekindled the romance and reunited.

Thurman has starred in films including "Les Miserables," "My Super Ex-Girlfriend" and several of director Quentin Tarantino's works, "Pulp Fiction," "Kill Bill Vol. 1" and "Kill Bill Vol. 2."

Tags: Uma Thurman