Al~traet--This communication presents an investigation of the thermodynamic design and feasibility assessment of hybrid double-absorption solar cooling systems. The systems considered are conventional closed-cycle and open-cycle absorption systems with an additional open-absorber component through which the process room air is passed, cooled and dehumidified. The cooling produced in the evaporator is utilized to remove heat from the open absorber as well as the process air being circulated. Thermodynamic modelling of system components for a fixed set of operating conditions and with water-LiBr as working fluid have been carried out and the system COP predicted as a function of regenerator temperature, mass flow ratio and latent heat load in the process air and the ambient air. A comparative study of the open and closed cycle options has been made and detailed parametric results are presented. It is concluded that the hybrid double-absorption solar cooling systems are better in performance than conventional systems and an open-cycle double-absorption system is even more attractive and cost effective as compared to closed-cycle option.