With　high　penetration　level　of　grid-connected　photovoltaic　(PV)　system,　the　stability　of　power　grid　is　easily　affected　by　the　variable　irradiation　which　furthers　the　power　fluctuations　with　high　ramp-rate.　Hence,　in　order　to　extent　the　proportion　of　solar　energy　in　power　grid,　a　method　for　controlling　ramp-rate　is　necessary　to　be　installed　in　PV　system.　Normally,　energy　storage　system　(ESS)　is　employed　without　a　direct　control　and　controllable　ramp-rate　in　prior-arts.　Meanwhile,　the　state　of　charge　(SoC)　of　ESS　could　also　influence　the　fluctuation　mitigation　performance.　In　this　paper,　an　adaptive　ramp-rate　control　is　proposed　with　integrated　ESS　for　fluctuation　mitigation.　This　control　blends　a　direct　ramp-rate　control　to　reduce　the　fluctuation　caused　by　PV　side　irradiation　change　to　a　desired　level　and　a　SoC　control　with　variable　ramp-rate　to　improve　the　performance　in　unexceptional　SoC.　The　proposed　control　is　verified　by　the　simulations　based　on　a　typical　PV　micro-grid　with　ESS.　©　2019　IEEE.