The present paper aims at exploring a hybrid absorption-compression heat pump (HAC-HP) to upgrade and recover the industrial waste heat in the temperature range of 60~120 °C. The proposed new HAC-HP system has one condenser, one evaporator and one more solution pump comparing to the conventional HAC-HP system to allow flexible usage of energy sources of electricity and waste heat. In the proposed system, the pressure of ammonia-water vapor desorbed in the generator can be elevated by two routes, one is via the compression of compressor while the other one is via condenser, solution pump and evaporator. The results show that more ammonia-water vapor flow through compressor leads to substantial higher energy efficiency due to the higher quality of electricity, however, only slightly change on system exergy efficiency is noticed. The temperature lift increases with the increasing system recirculation flow ratio, however, meanwhile the system energy and exergy efficiencies drop towards zero. The suitable operation ranges of HAC-HP were recommended for the waste heat at 60 °C, 80 °C, 100 °C and 120 °C. The recirculation flow ratio should be lower than 9, 6, 5 and 4 respectively for these waste heat, while the temperature lifts were in the range of 9.8~27.7 °C, 14.9~44.1 °C, 24.4~64.1 °C and 40.7~85.7 °C respectively, and the system energy efficiency were 0.35~0.93, 0.32~0.90, 0.25~0.85 and 0.14~0.76.