Ballastless track section for a rail vehicle intended to be fastened on a track platform, characterized in that said track section comprises: - a prefabricated concrete track slab (20, 120) comprising two stringers (21, 22) extending along a longitudinal direction and, at each longitudinal end (20a, 20b) of the slab, a notch (23, 24) separating said stringers (21, 22) so as to form an H-shaped track slab; - for each stringer (21, 22), a plurality of transverse supporting blocks (21a, 22a) for maintaining a longitudinal rail (21b, 22b) and mounted on an upper face of said stringers, and at each longitudinal end of said stringers, a rounded bearing surface (21c, 22c) borne by an underside of said stringers and having a curvature whose center of curvature is the top of the respective rail (21b, 22b) maintained by the blocks; - for each longitudinal end of said slab, a prefabricated support pad (30, 130) of at least this longitudinal end of the slab, said prefabricated support pad (30, 130) comprising a plate and a longitudinal central block projecting from said plate intended to extend into the notch (23, 24) of this longitudinal end of said slab, once this slab is mounted on this pad, and delimiting, on either side of said central block, at least two support bases (33, 34) for the two longitudinal stringers of this longitudinal end of said slab, each base (33, 34) comprising at least one shim (33a, 34a) of predetermined thickness arranged on said plate and intended to support said rounded bearing surface (21c, 22c) of the stringer of said slab facing this base, once this slab is mounted on said pad; - for each support pad (30, 130), foundation means for this support pad in said track platform. - a prefabricated concrete track slab (20, 120) comprising two stringers (21, 22) extending along a longitudinal direction and, at each longitudinal end (20a, 20b) of the slab, a notch (23, 24) separating said stringers (21, 22) so as to form an H-shaped track slab; - for each stringer (21, 22), a plurality of transverse supporting blocks (21a, 22a) for maintaining a longitudinal rail (21b, 22b) and mounted on an upper face of said stringers, and at each longitudinal end of said stringers, a rounded bearing surface (21c, 22c) borne by an underside of said stringers and having a curvature whose center of curvature is the top of the respective rail (21b, 22b) maintained by the blocks; - for each longitudinal end of said slab, a prefabricated support pad (30, 130) of at least this longitudinal end of the slab, said prefabricated support pad (30, 130) comprising a plate and a longitudinal central block projecting from said plate intended to extend into the notch (23, 24) of this longitudinal end of said slab, once this slab is mounted on this pad, and delimiting, on either side of said central block, at least two support bases (33, 34) for the two longitudinal stringers of this longitudinal end of said slab, each base (33, 34) comprising at least one shim (33a, 34a) of predetermined thickness arranged on said plate and intended to support said rounded bearing surface (21c, 22c) of the stringer of said slab facing this base, once this slab is mounted on said pad; - for each support pad (30, 130), foundation means for this support pad in said track platform.