As an energy comprehensive utilization technology, combined cooling, heating and power (CCHP) system has received much attention in many countries. Due to the variability of users demand, the CCHP system is often running at off-design condition. CCHP system integrated with energy storage system is an efficient method to improve the off-design performance of CCHP system. A novel CCHP system with trigenerative compressed air energy storage (T-CAES) is proposed in the paper, which can meet various forms energy demand of users. A comprehensive thermodynamic model of the system has been set up, and the thermodynamic performance analysis has been done. Furthermore, a sensitivity analysis is conducted by the key parameters effected on performance of CCHP system integrated with T-CAES. The comparison of thermodynamic and economic analysis between the novel CCHP system and conventional CCHP system are carried out in application of office building. The primary energy rate of novel CCHP system is 85.57%, the primary energy saving ratio of novel CCHP system is 26.87%, and the total cost saving ratio of novel CCHP system is 30.55%. The result shows that the performance of the CCHP system integrated with T-CAES is superior to conventional CCHP system.