A folding shelter structure capable of being reconfigured from an unfolded position to a folded position, and vice versa. The structure has telescopic uprights each having at least one lower element sliding outside an upper element secured to said structure and which support a collection of mutually-adjacent prismatic box structures. The walls of which having crisscross longitudinal members articulated in the manner of scissors. The structure is characterized in that said structure has indexing means that are built into said telescopic uprights, in order to block and maintain the lower element and the upper element in the folded position, in the unfolded position or in at least one intermediate position between the folded and unfolded positions.