The solar-powered LiBr-water absorption air conditioning system using hybrid storage includes one or more solar collectors generating heat energy to drive the system. The solar collector communicates with a generator to heat an aqueous LiBr solution and release refrigerant through vaporization. The refrigerant feeds into a condenser to form a refrigerant condensate. The condensate feeds into an evaporator, which throttles the refrigerant and causes flash vaporization, resulting in cooling discharged into a load. The refrigerant from the evaporator feeds into an absorber containing a weak LiBr-water mixture from the generator to facilitate absorption of the refrigerant. A pump feeds the resultant aqueous LiBr solution back to the generator for another cycle. The hybrid storage includes a combination of heat storage tank, refrigerant storage tank, and/or a cold water tank coupled to the generator, condenser, and the evaporator to supplement driving or additional cooling during nighttime for continuous daily operation.