Abstract: The invention relates to a thermal insulation composite system, comprising a plurality of panel-shaped thermal insulating bodies and a plurality of fixing devices for fixing the thermal insulating bodies to an external wall of a building, wherein each of the fixing devices contains a fixing plate for fixing the fixing device to the outer wall, a connecting bridge mounted on the surface side of the fixing plate, and an insert plate that is fixed to the fixing plate via the connecting bridge in a plane substantially parallel to the fixing plate. At least a first portion of the insert plate is designed for relative engagement in the first slot of at least a first of the thermal insulation bodies. The connecting bridge is designed for complete relative engagement in a second slot of the at least one first thermal insulation body, said second slot corresponding to the thickness of the connecting bridge.