This　paper　proposes　a　safety　variable　time-gap　(SVTG)　spacing　strategy　for　autonomous　adaptive　cruise　control　(ACC)　vehicles,　which　takes　the　vehicle＇s　velocity　and　maximum　deceleration　into　account.　The　vehicle　safety,　the　stability　of　the　individual　vehicle,　string　stability,　and　traffic　flow　stability,　and　the　traffic　flow　capacity　can　be　improved　by　the　proposed　spacing　strategy.　The　SVTG　spacing　strategy　solves　the　limitation　of　traffic　flow　instability　of　constant　time-gap　(CTG)　spacing　strategy　and　the　shortcoming　of　unsafety　of　the　variable　time-gap　(VTG)　spacing　strategy.　The　simulation　results　show　that　the　performance　of　SVTG　spacing　strategy　is　better　than　the　other　two　spacing　strategies.