Various studies have been conducted regarding the heat problem of Libya’s building recently. The current method is to create a heat barrier in all parts of the building. Thermal insulation R-value of each material and the heat transfer coefficient such as U-value confirms to the Egyptian standards. This research was conducted by using a new design of double wall heat insulation materials which are available in Libya. This new design is to be compared to previous research. The proposed double wall and generated R-value provide higher efficiency than the best efficiency ever done.