In　practical　engineering　applications,　the　vibration　is　often　generated　in　various　directions　and　can　be　harmful　to　the　engineering　equipment.　Thus,　it　is　necessary　to　develop　vibration　isolators　that　can　reduce　vibration　in　multiple　directions.　In　this　paper,　we　propose　a　planar　two-dimensional　vibration　isolator　based　on　compliant　mechanisms.　The　proposed　mechanism　consists　of　two　negative　stiffness-compliant　modules　and　two　positive　stiffness-compliant　modules,　which　leads　to　the　quasi-zero　stiffness　(QZS)　property　in　the　mechanism.　The　dynamic　model　is　established　by　using　the　third-order　Taylor　expansion　and　the　harmonic　balance　method.　Based　on　the　dynamic　model,　the　influence　of　different　parameters　on　the　displacement　transmissibility　is　discussed,　including　damping　ratio,　system　stiffness,　and　excitation　amplitude.　Finally,　we　conducted　the　vibration　isolation　experiments　and　obtained　the　displacement　transmissibility　of　the　isolator.　The　results　verify　that　the　proposed　isolator　has　good　isolation　performance　for　low-frequency　vibration.