Alternating　current　(AC)-driven　electroluminescent　(EL)　devices　have　attracted　widespread　attention　due　to　their　special　advantages.　Under　the　trend　of　nanoscale　miniaturization　in　optoelectronics,　AC-driven　EL　devices　with　nanoscale　are　highly　desirable　to　be　applied　to　nano-optoelectronic　integrated　circuits.　In　this　work,　GaN-based　nanorod　LEDs　(nLED)　are　used　as　nanoscale　emitters　to　fabricate　AC-driven　nano-EL　device,　namely,　AC-nLED.　Two　configurations　including　single-dielectric　AC-nLED　and　double-dielectric　AC-nLED　without　carrier　injection　are　demonstrated.　The　electrical　and　optical　characteristics　of　single-dielectric　AC-nLED　and　double-dielectric　AC-nLED　are　demonstrated,　which　have　completely　different　frequency　responses.　The　working　mechanisms　and　origin　of　the　difference　in　frequency　response　are　discussed.　Our　work　presents　an　alternative　device　configuration　for　obtaining　AC-driven　nano-EL　devices,　which　are　expected　to　be　used　in　nano-photonic　systems　and　nano-pixel　light-emitting　displays.