Sealed and thermally insulating tank incorporated into a polyhedral bearing structure, the tank comprising a plurality of tank walls, the tank walls comprising a thermally insulating barrier anchored on the corresponding bearing wall and a sealed membrane borne by said thermally insulating barrier, a first bearing wall of the bearing structure and a second bearing wall of the bearing structure forming an edge corner of the bearing structure, the thermally insulating barrier of a first tank wall comprising a row of edging blocks anchored on the first bearing wall and juxtaposed along the edge corner in such a way as to form a support surface parallel to the first bearing wall, the tank comprising a row of anchor strips extending parallel to the edge corner, said anchor strips being borne by the first support surface and anchored to the second bearing wall by a row of anchor rods, one said anchor rod comprising a first end anchored to the second bearing wall and a second end coupled to the row of anchor strips in order to transmit a tensile load between the row of anchor strips and the second bearing wall, one end portion of the sealed membrane of the first tank wall turned towards the edge corner being fixed in a sealed manner on said row of anchor strips, an anchor strip of the row of anchor strip comprising a first tab and a second tab projecting respectively from two opposite end portions of the anchor strip in the direction of the first bearing wall, tank in which a first and a second of said edging blocks each comprising a groove formed in the thickness of said edging block from an upper face of said edging block in such a way as to form a space accessible from the second bearing wall in the edging block, and characterized in that a first and a second of said anchor rods are housed respectively in the groove of the first and second edging blocks, in which the anchor strip in the row of anchor strips is supported overlapping the first edging block and the second edging block, the first and second tabs of said anchor strips being engaged respectively in the groove of the first edging block and of the second edging block and being respectively coupled to the first anchor rod and to the second anchor rod. the thermally insulating barrier of a first tank wall comprising a row of edging blocks anchored on the first bearing wall and juxtaposed along the edge corner in such a way as to form a support surface parallel to the first bearing wall, the tank comprising a row of anchor strips extending parallel to the edge corner, said anchor strips being borne by the first support surface and anchored to the second bearing wall by a row of anchor rods, one said anchor rod comprising a first end anchored to the second bearing wall and a second end coupled to the row of anchor strips in order to transmit a tensile load between the row of anchor strips and the second bearing wall, one end portion of the sealed membrane of the first tank wall turned towards the edge corner being fixed in a sealed manner on said row of anchor strips, an anchor strip of the row of anchor strip comprising a first tab and a second tab projecting respectively from two opposite end portions of the anchor strip in the direction of the first bearing wall, tank in which a first and a second of said edging blocks each comprising a groove formed in the thickness of said edging block from an upper face of said edging block in such a way as to form a space accessible from the second bearing wall in the edging block, and characterized in that a first and a second of said anchor rods are housed respectively in the groove of the first and second edging blocks, in which the anchor strip in the row of anchor strips is supported overlapping the first edging block and the second edging block, the first and second tabs of said anchor strips being engaged respectively in the groove of the first edging block and of the second edging block and being respectively coupled to the first anchor rod and to the second anchor rod.