Fairytale Of New York Pogues/Kirsty MacColl
The star said to having named first born
According to reports the Oscar winner has named her child Alef.
The name is believed to be a take on the word Aleph, the first letter of the Proto-Canaanite alphabet, an ancient script from Israel, Palestine, Lebanon and western parts of Jordan.
The baby boy is Portman's first child with fiancé Benjamin Millepied, who she met on the set of "Black Swan".