She is the first child Moore, 47, and her husband, Marc Daly, have together.
The baby’s name has special meaning for the couple.
"Brooklyn because that's where we met and fell in love, and Doris after my grandmother who passed away last year and who raised me," Moore told People.
“Brooklyn is very alert and active,” Moore said.
The new mother is doing well, despite having had a high-risk pregnancy.
People reported that Brooklyn was born via emergency cesarean section. Moore said last month that she tested positive for preeclampsia, a dangerous condition that is characterized by high blood pressure.
"I gained 17 lbs in ONE week due to severe swelling and water retention, high blood pressure, and excess protein in urine," Moore posted on Instagram Oct. 27. "This is NOT normal!"
Essence reported that Moore previously said she was due around Thanksgiving.
On Saturday, Moore indicated on Instagram she would be giving birth soon.
“If you want to make God laugh have a plan... won't be long now,” she captioned a photo of herself in a hospital bed.
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