Table tennis apparatus is disclosed which incorporates a pair of tabletop panel assemblies each of which comprises a pair of subpanels which fold together into a light and compact unit for storage or shipping. The subpanels include support structures which carry a planar layer formed of a flexible material which provides the playing surface. The planar layer bridges across a folding butt joint which separates the subpanels without creating any objectionable undulations or seam along the butt joint when the panels are unfolded into the playing configuration. The apparatus is adapted for converting to a single player configuration in which one of the tabletop panel assemblies is mounted upright to serve as a backstop along a side of the remaining horizontally positioned panel assembly. The components are releasably locked in the different configurations by splines which interfit into keyway recesses formed in the perimeters of the subpanels. The apparatus can be easily assembled and disassembled without the requirement for tools or hardware.