A short historical review of absorption cooling devices, starting from the first experiments revealing that some liquids are capable to absorb aqueous vapour and some other gases, all through the mass produced devices that have become forerunners of modern absorption systems, is given in the paper. The aim of the study was to develop the mathematical model of an absorption cooling process in MATLAB and to test this model by calculating thermodynamic properties of binary mixture LiBr/H2O using the constant coefficients given by Dong– Seon Kim and Infante Ferreira. The derived model was then used for calculation of absorption cooling process in the working conditions of the installed solar cooling plant in Dubrovnik, Croatia. The technical parameters of the system which are used for the verification of the model are collected by using the long distance measurement system.