In this study, a novel ammonia-based integrated system, incorporating both ammonia- and hydrogen-fueled internal combustion engine and ammonia fuel cell system, is developed for cogeneration of power and cooling. The integrated system recovers the waste heat and uses it efficiently to achieve cooling and producing power. The performance of the present system is assessed and evaluated by using thermodynamic energy and exergy approaches. The energy efficiency of the overall cogeneration system is determined to be 59.9%, while the exergy efficiency is found to be 51.9%. Also, the energy efficiency of the ammonia fuel cell is evaluated as 44.4% and the exergy efficiency is found to be 41.7%. Further, the energy and exergy efficiencies of the internal combustion engine are determined to be 45.7 and 43.8%, respectively. Some parametric studies under actual operating conditions are conducted to assess the system performance at varying operating conditions and parameters. The developed system provides a new direction toward improving the performances of ammonia fuel cell systems through system integration, cogeneration, and waste heat recovery.