The ALIAS actress, 34, gave birth to the couple's first child in a Los Angeles area hospital this morning (01DEC05), according to internet reports.
According to the same reports, proud dad Affleck, 33, was by his wife's side throughout her labour.
According to American publication US Weekly, labour was induced last night (30NOV05). A time for the birth has yet to be determined.
Affleck and Garner's publicists could not be reached for confirmation as Contactmusic.com went to press.
The DAREDEVIL co-stars wed on 29 June (05) on the Caribbean resort of Turks and Caicos. They began dating in July 2004.