Seeded No.3 at the tour's first Premier tournament on European red clay, Cibulkova injured her wrist last week during practice ahead of Slovakia's weekend tie against the Netherlands.
Cibulkova was forced to withdraw from the tie and, despite a first-round bye in Stuttgart, was unable to heal in time to play the event.
As a result of Cibulkova's withdrawal and in accordance with WTA rules, No.5 seed Garbiñe Muguruza, who was set to play her first-round match against countrywoman Carla Suárez Navarro, moves into Cibulkova's vacated spot in the draw and now has a first-round bye.
A qualifier or lucky loser will take Muguruza's vacated spot and will play Suárez Navarro. The rest of the draw remains unchanged.