The 39-year-old actress gave birth to Little Stella Luna Pompeo Ivery, her first child with husband Chris Ivery on September 15, reports the Daily Express.
The couple, who wed in 2007, announced the baby news this April.
Meanwhile, Pompeo's co-star Katherine Heigl and husband Josh Kelley have also become proud parents of a 10-month-old Korean girl after completing adoption formalities.
The actress' rep said the couple have named their daughter Nancy Leigh, after Katherine's mum Nancy and her sis Margaret Leigh.
Photograph: Fred Prouser/Reuters
Katherine Heigl adopts 10-month-old Korean girl
Men find Katherine Heigl most desirable!