A　low　power　variable　gain　wideband　low　noise　amplifier　(LPVG-LNA)　was　designed　in　this　paper　by　using　active　inductor　and　multiple　current　reuse　circuit　structures.　At　the　input　stage　of　LPVG-LNA,　a　noise　canceling　structure　and　an　active　inductor　were　employed　to　reduce　noise　figure　and　to　realize　input　matching　and　gain　tuning　respectively.　At　the　middle　stage,　three　common-emitter　amplifier　was　utilized　to　realize　high　gain.　Furthermore,　current　reuse　technique　is　used　at　input　stage　and　middle　stage　respectively　to　reduce　power　consumption.　At　the　output　stage,　an　emitter　follower　was　adopted　to　achieve　output　matching.　Based　on　WIN　002μm　GaAs　HBT　technology,　the　proposed　LPVG-LNA　was　verified.　The　results　show　that　in　the　frequency　range　of　1-3GHz,　the　LPVG-LNA　has　the　gain　(S21)　of　over　37.56dB,　the　maximum　gain　tuning　range　of　4.22dB,　the　input　return　loss　(S11)　of　less　than　-7.06dB,　the　output　return　loss　(S22)　of　less　than　-18.52dB,　the　noise　figure　(NF)　of　less　than　4.6dB,　the　stability　factor　(k)　of　over　10.68.　The　static　power　dissipation　of　the　LPVG-LNA　is　less　than　35mW　under　the　operation　voltage　of　5V.　©　2016　IEEE.