Starting on Wednesday, the Dallas-based carrier will charge customers $35 for their first checked bag and $45 for their second checked bag. The bag fee change will also apply to existing flight itineraries changed on or after May 28, Southwest confirmed to "Good Morning America."

On Wednesday, Southwest Airlines implemented a checked bag fee for passengers.

Starting Wednesday, the airline will charge customers $35 for one checked bag and $45 for a second, unless they hold the airline’s credit card or have elite status.