Contrary to reports, Spears and husband Kevin Federline have not named their child Sutton Pierce and have instead given him the moniker Jayden James.
TMZ said the name was listed on a birth certificate filed by the couple with Los Angeles authorities after the birth of the boy on September 12, scotching rumours the baby was a girl.
The couple already have a son, Sean Preston, who was born in September 2005.
The baby is Federline's fourth child, as he has two small children by his ex-girlfriend, actress Shar Jackson - Kori, 4, and Kaleb, 2.
Spears first sprang to fame as a teen star and went on to become one of the biggest forces in pop music.
Her 2000 single Oops! I Did It Again broke sales records on its release, becoming the fastest-selling album by a female artist in history by selling 1.3 million copies in its first week in US record stores.
But the bubbly blonde is most often in the headlines for her private life, including her marriage to dancer Federline, her long-time teen romance with pop star Justin Timberlake and her abortive 2004 marriage to an old friend. - Sapa-AFP