A hybrid open-cycle vapor absorption and liquid desiccant system using LiBr for the process of absorption and dehumidification has been simulated. The simulation model of the hybrid cycle is formulated with a partly closed-open solar regenerator for regenerating the weak desiccant and a packed tower dehumidifier for the dehumidification of ambient air. The air is first dehumidified in the dehumidifier and then sensibly cooled in the evaporator. Subroutines for each component of the cycle have been used in order to calculate the varying parameters at all points in the cycle. The hybrid model presented is found to be an excellent alternative to conventional vapor absorption machines, particularly in hot and humid climates. The COP so obtained is about 50% higher than that of a conventional vapor absorption machine and is likely to increase further for the conditions which have been discussed.