Abstract: A tooling for manufacturing a wall with two concrete walls, between which at least one insulation panel is trapped includes at least one system for positioning the insulation panel composed, on one hand of a dagger having a rod provided with a bearing stop and, on the other hand, of a lock provided with a counter-stop. The lock has at least two notches for receiving a first reinforcement, arranged locally on the circumference of the positioning system, extending set back from a first end of the rod, delimited on either side by retaining stops spaced apart so as to maintain in position the first reinforcement, and defines a housing with a profile converging in the opposite direction to their opening, and arranged according to the length of the positioning system to be able to adjust the position of the first reinforcement according to the length of the positioning system.