The　reliability　assessment　of　pipeline　networks　under　nature　disasters　helps　to　improve　the　disaster　prevention　capability　and　overall　resilience　of　pipeline　networks.　For　the　earthquake　hazard,　the　seismic　damage　of　pipelines　in　the　network　is　usually　correlated　due　to　the　spatial　correlation　of　critical　parameters,　including　characteristics　of　pipeline,　soil　properties　and　ground　motions.　This　paper　proposes　a　framework　to　evaluate　the　seismic　reliability　of　pipeline　network　under　spatially　correlated　parameters　based　on　the　quasi-Monte　Carlo　(QMC)　simulation.　The　influence　of　spatial　correlated　random　variables　on　the　seismic　reliability　of　pipeline　network　is　investigated　with　explicit　consideration　of　the　correlated　random　variables　including　the　peak　ground　velocity,　the　wall　thickness　and　the　yield　stress　of　pipe　segment.　The　framework　has　been　implemented　in　seismic　reliability　evaluation　of　two　pipeline　networks.　The　result　shows　that　the　QMC　method　has　better　simulation　accuracy　than　the　standard　MC　method　under　same　sampling　numbers.　The　spatial　correlations　have　different　influences　on　the　seismic　connectivity　reliability　of　pipeline　networks　with　different　topological　redundancy　and　parallelism　of　connective　paths　from　sources　to　user　nodes.　For　the　pipeline　network　with　greater　redundancy　and　parallelism,　the　model　without　considering　the　spatial　correlations　overestimates　the　network　connectivity　reliability.