The feasibility of combined metal hydride compressor and heat pump (MHCHP) has been studied through characterising of various synthesised and commercial alloys. The operation of a two-stage metal hydride compressor has been demonstrated: hydrogen pressure was increased from 12-18 bar up to 85-110 bar by utilising very narrow temperature interval (20-60 degrees C). By adding a third alloy, TiCrMn0.55Fe0.30V0.15, the hydrogen pressure close to 200 bar could be achieved. The heat pump cycle was also demonstrated by using the same alloys as in the two-stage compressor. A MHCHP would be very useful for self-sufficient solar energy systems: for example in a PV-hydrogen system, a three-stage compressor can increase the storage pressure of hydrogen from 30 bar up to 200 bar, and the heat pump can reduce the power of photovoltaics and the size of the hydrogen storage by more than 10%.