Abertawe Bro Morgannwg University Health Board said many clinicsopened earlier than the intended 10:00 BST start time as people began queuing as early as 08:30 BST.
"We're responding to the challenge that was presented when the Marie Stopes clinic opened in Northern Ireland and that revealed a loophole that private clinics are wholly unregulated, there's no form of accountability, no transparency, " he said.