An analytical analysis has been presented to evaluate the performance of a solar-assisted vapour absorption cooling system with a flat-plate absorber plate. The lithium-bromide water absorption cycle is used to obsstain the cooling effect. The performance parameters, namely absorber plate efficiency, collector efficiency factor, heat removal factor, etc. have been determined with the variation of collector fluid inlet temperature. The cycle coefficient of performance (COP), system COP, refrigerating efficiency of the cycle, and refrigerating efficiency of the system are determined analytically. The maximum COP and cooling efficiency for both the cycle and system has been found at an optimal collector fluid inlet temperature. The optimum design condition for the variation of different design parameters, such as ambient temperature and thermal conductivity, has also been studied. Finally, the plate material is found to be a minimum at a particular collector fluid inlet temperature which is an optimum design condition to run the solar-assisted vapour absorption system.