The invention relates to a ceiling formwork system comprising several formwork elements, the bottom face of which is provided with supports that can be coupled to heads of vertical props. At least some areas of the cross section of said supports are embodied in a C-shaped manner, with two legs extending from a basic section. One of the legs is designed as a supporting surface that is to rest on a head of a vertical prop while the head of a vertical prop is provided with fixing elements which engage into one respective recess of a supporting surface. Said recess is configured so as to selectively couple the support to the vertical prop in two directions that are offset relative to each other by 90° at the end of the supporting surface which faces away from the basic section.