Polymer-ceramic　composite　electrolytes　are　emerging　as　a　promising　solution　to　achieving　high　ionic　conductivity,　optimal　mechanical　properties,　and　good　safety　for　developing　high-performance　all-solid-state　rechargeable　batteries.　In　this　work,　we　report　a　garnet　(Li7La3Zr2O12)-based　hybrid　solid　electrolyte　(HSE)　membrane　designed　for　high　performance　solid-state　lithium　batteries　for　the　first　time.　The　composite　HSE　membrane　is　composed　of　LLZO　particles　and　PVDF-HFP　polymer　matrix.　The　solid-state　lithium　battery　with　this　HSE　membrane,　Li　metal　anode　and　LiFePO4　cathode　exhibits　an　initial　reversible　discharge　capacity　of　120　mA　h　g(-1)　at　a　charge/discharge　current　density　of　0.5　C　at　room　temperature.　This　solid-state　battery　is　used　to　store　the　energy　harvested　by　a　TENG　at　different　rotation　rates.　The　solid　state　battery　can　efficiently　store　the　pulsed　energy,　especially　for　output　at　high　frequencies.