Sealed and thermally insulating tank incorporated into a polyhedral bearing structure, the tank having a plurality of tank walls, a thermally insulating barrier and a sealed membrane, a first bearing wall and second bearing wall forming an edge corner, the thermally insulating barrier of a first tank wall having a row of edging blocks, a row of anchor strips anchored to the second bearing wall by a row of anchor rods, a first and second of edging blocks each having a groove formed in thickness of said edging block, a first and a second of said anchor rods being housed respectively in the groove of the first and second edging blocks, one anchor strip in the row of anchor strips is supported overlapping the first edging block and the second edging block, the anchor strip being coupled to the first anchor rod and to the second anchor rod.