In this paper, a natural cooling system composed of domed roof and solar adsorption chiller is presented and its performance to provide the thermal comfort conditions in Yazd, Kerman, and Tehran is investigated based on ISO 7730. Furthermore, the effects of environmental parameters, wind speed, and geometric characteristics on the system performance are studied. To calculate the number of air changes of the room, Ansys Fluent software is used. Additionally, to estimate the room inlet temperature, the governing equations of the adsorption chiller and cooling channel are solved based on the forth order Runge-kutta and finite difference methods, respectively. The results show that increasing the incision diameter of the domed roof as well as the width of the cooling channel causes to increase the number of air changes of the room. Alternatively, increasing the width of the inlet air vent up to a threshold value will cause to increase the number of air changes. However, increasing beyond the threshold value has no significant effect on the number of air changes. Additionally in the aforementioned cities, the room inlet air temperature is almost constant when the chiller operates. Finally, the environmental conditions are determined which accordingly the system is able to provide the thermal comfort conditions in the test room on July 15.