The characteristic of concrete-blocks with low thermal conductivity compared to laterite-mud indicated that concrete blocks are better insulators of heat and would be good materials for the construction of walls for self-cooling building. Although the costs of building houses with on crete-blocks are very expensive in Nigeria but one of the importance to note in building design and construction, particularly in tropical region, is the consideration of the indoor environmental conditions most conducive to comfort,health safety and the general well-being of the occupants (Ajibola and Onabanjo, 1995). The study therefore recommended concrete-blocks for walls to minimize heat conductivity from the environment to the interior and make self-cooling buildings in Nigeria.