Combined cooling and power system has gained extensive attention from government and publics throughout the world due to fuel saving, high energy utilization efficiency and different energy forms output. In this paper, a novel combined cooling and power system comprising a supercritical CO2 (sCO(2)) power cycle and a vapor absorption refrigeration cycle with lithium bromide as the working fluid is proposed. A comparative study is conducted between this system and the combined sCO(2)/ammonia-water system to show its advantages and potential on the basis of the self-built thermodynamic simulation platform. The influence of different variables including turbine inlet temperature, pressure ratio in sCO(2) cycle and evaporating temperature on the system performance is analyzed. Single-objective optimization relying on the genetic algorithm and multi-objective optimization based on the NSGA-II method are used to further investigate and compare the performance of above two cycles. Optimization results reveal that compared with the combined sCO(2)/ammonia-water system, the proposed sCO(2)/LiBr-H2O system could gain improvement on CORP by 0.3112 at the expensive of COPP drop by 0.0004 excepting the advantage of extreme low pump outlet pressure in bottoming cycle. Besides, sCO(2)/LiBr-H2O system is relatively easier to reach the balance between power and cooling.