Compression　high　-temperature　heat　pump　steam　system　(HTHPSS)　has　higher　energy　efficiency　than　electric,　coal-fired　and　gas　boilers　for　steam　production.　The　system　efficiently　recovers　waste　heat　from　the　factory　and　the　CO　2　emissions　can　be　reduced　depending　on　the　driving　electricity　mix,　which　is　in　line　with　the　carbon　neutral　energy　saving　and　environmental　protection　development　strategy.　However,　there　are　few　reviews　published　in　the　existing　literature　that　specifically　address　the　status　of　research　on　HTHPSS.　This　work　not　only　reviews　the　status　of　research　on　compression　HTHPSS　in　two　directions:　increasing　the　efficiency　of　hightemperature　heat　pump　(HTHP)　and　increasing　the　steam　temperature,　respectively,　but　also　indicates　the　future　development　trend　of　HTHPSS.　The　key　to　the　research　of　HTHP　is　the　development　of　high　-temperature　refrigerant　and　high　compression　ratio　compressors.　In　this　work,　the　refrigerants　that　can　be　used　in　HTHP　are　reviewed.　Natural　refrigerants　R718　show　promise　as　HTHP　refrigerants　because　they　have　zero　ozone　depletion　potential　(ODP),　zero　global　warming　potential　(GWP)　and　a　high　critical　temperature.　In　addition,　the　research　status　of　high　-temperature　and　high-pressure　compressor　with　a　focus　on　their　design　and　strategies　for　reducing　the　discharge　temperature　of　scroll,　piston,　and　screw　compressors.　The　future　focus　of　research　is　to　develop　a　high　compression　ratio　for　the　compressor.　Moreover,　the　three　main　water　vapor　compressors,　centrifugal,　Roots　and　screw　compressors,　are　introduced　respectively.　Finally,　according　to　the　operational　requirements　of　the　compression　HTHPSS,　research　trend　and　the　technical　problems　to　be　solved　are　proposed.