A sealed and insulating tank, notably for liquefied natural gas, includes, a supporting wall with anchor members disposed in a repeated pattern, a sealing barrier in contact with a product contained in the tank and a thermal insulation barrier disposed between the sealing barrier and the supporting wall, the thermal insulation barrier including a plurality of insulating panels disposed in the repeated pattern, each insulating panel being fixed to the supporting wall by an adhesive disposed on a lower surface of the insulating panel and one or more anchor members of the supporting wall each cooperating with a hole passing through the insulating panel. The number of anchor members per insulating panel is in the range 1 to 6, preferably 2 to 3. A method of fixing insulating panels employs a clamping tool.