The transient state heat transfer formulation has been used to determine the air conditioning cooling load for two selected one room buildings in Khartoum : one made from brickwork and the other from wood. This formulation has been achieved by applying an explicit finite difference numerical techniques and adopting thermal network of electrical analogy to solve the transient conduction heat transfer equations.A computer program was developed to analyse the thermal network and to determine the cooling load for the wall, roof, window,ventilation and the total cooling load for each building for a typical hot summer day in Khartoum. A solar cooling system comprising mainly of a nat plate solar collector, a Lithium Bromide-Water absorption air conditioner, a storage and auxiliary tanks was integrated in the building and the energy equation for each component was obtained.A general simulation program for the solar cooled buildings has been developed and it was found that about 65% of the total cooling load demanded by the brick building could be supplied by energy from the solar collector, the other 35% portion had to be met by the auxiliary lank compared with 70% of the total cooling load demanded by the wood building which could be supplied by energy from the solar collector.