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The baby girl, who was born Sunday is the first for the Oscar winning actress and her model boyfriend, Gabriel Aubry.
A day after Nahla's birth, Aubry's sister, Eugenie, told PEOPLE, "It's been a long time since we've had a new baby in the family. It's very exciting."
Nahla means honeybee in Arabic.
Berry, 41, tells Access Hollywood, "We didn't have a name picked out until just before we left the hospital."
"For us it was hard to name the most important person in our life until we met her," Berry adds.
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