Halle Berry and Olivier Martinez Name Their Son Maceo-Robert

10/08/2013 at 08:30 AM EDT

Halle Berry and Olivier Martinez Name Their Son Maceo-Robert
Olivier Martinez and Halle Berry
Amanda Edwards/WireImage

Halle Berry

Halle Berry

Halle Berry and Olivier Martinez clearly feel blessed by their new baby boy.

The American actress and French actor, both 47, have named their son Maceo-Robert, a source close to the couple confirms to PEOPLE.

The "Maceo" part is said to be of Spanish origin – Martinez's father, Robert Martinez, was a Spanish boxer – and means "gift of God."

TMZ.com was the first to report the name.

The hyphenated name gives the boy one foot in the old world and one in the new – perfect for the transatlantic couple, who "decided on a name that's great in both the U.S. and France," a source close to Martinez recently told PEOPLE.

Berry, who won the Oscar in 2002 for Monster's Ball, also has a 5½-year-old daughter, Nahla Ariela, from her previous relationship with Gabriel Aubry.

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