The present invention relates to a bed support comprising a platform (1) and a floating deck (6) each comprising two longitudinal lateral edges, a transverse head edge and a transverse foot edge, said deck (6) being composed of elements (7) connected to each other by articulations (8), and being held above said platform (1) by lifting means (10), characterized in that said lifting means (10) comprise at least two lateral jacks (11) each disposed between a point on one of the lateral edges of the deck (6) and the projection of said point onto the platform (1) in at least one of the lifting configurations.The present invention also relates to the use of a bed support according to the invention in order to obtain a lateralization or semi-seated position.