In this paper, investigate a solar absorption cooling system is theoretically investigated. A Linear Fresnel Solar Concentrator drives a combined ejector single effect absorption cycle. High performance is comparable to double effect absorption cycle in the combined ejector single effect absorption, which require driven temperatures higher than single-effect ones. A mathematical model of the collector concentrator is represented to analyze its optical performance. Simulations are conducted to examine the performance of the combined absorption cycle \({\text{COP}}_{\text{cycle}}\) , instead of studying the entire machine performance \({\text{COP}}_{\text{system}}\) . Simulations are carried out for a generator driving temperature and pressure of 180 to 230 and 198 to 270 kPa, respectively. A case study in cooling season, during summer typical Tunisian day, showing how cycle and system performance are affected by sun radiation and surrounding temperature, are investigated. Simulation results show that collector efficiency is between 0.54 and 0.78 and that \({\text{COP}}_{\text{system}}\) and \({\text{COP}}_{\text{cycle}}\) reach minimum values at 14:00, about 0.7 and 0.45 respectively.