Water　supply　networks　are　important　components　of　lifeline　engineering.　Because　of　the　influence　of　random　earthquake　motion　fields,　their　seismic　response　and　function　also　have　obvious　randomness.　The　influence　of　the　complicated　topological　structure　of　water　supply　networks　cannot　be　considered　by　the　traditional　seismic　response　analysis　of　buried　pipelines.　The　traditional　method　is　also　difficult　to　be　applied　to　analyze　the　random　vibration　of　the　nonlinear　system.　The　physical　response　of　pipelines　has　not　been　implemented　into　the　functional　analysis　of　water　supply　networks.　To　solve　these　three　problems,　this　paper　modifies　the　random　physical　model　of　seismic　ground　motion　fields　on　the　local　engineering　site,　introduces　a　finite　element　method　of　buried　pipe　networks,　combines　the　probability　density　evolution　method,　and　realizes　the　random　seismic　response　analysis　of　water　supply　networks.　Furthermore,　the　transient　flow　theory　is　utilized,　and　the　random　seismic　function　analysis　of　water　supply　networks　is　completed.　It　lays　foundation　for　the　seismic　reliability　evaluation　of　water　supply　networks.　Copyright　©2022　Engineering　Mechanics　Press.　All　rights　reserved.