Gasification combined with syngas power generation technologies, such as fuel cells, gas turbines, and the organic Rankine cycle, present significant potential for the efficient disposal of municipal solid waste. This paper proposes a hybrid system that integrates municipal solid waste gasification with syngas power generation. An absorption heat pump was employed for drying wet municipal solid waste. The thermomechanical analysis and variable condition analysis of the proposed integrated system were conducted. The influences of municipal solid waste drying degree on the system performance were researched emphatically. The results indicated that the system effectively implemented cascade energy utilization, with the power generation from solid oxide fuel cells contributing the most to total power generation. The total power generation increased from 34,469.50 to 42,967.03 kW as the moisture content decreased from 40.0% to zero. Both total power generation efficiency and overall exergy efficiency of the proposed integrated system increased as the moisture content decreased. The municipal solid waste drying process utilizing an AHP is beneficial to the system.