Dynamic　wireless　power　transfer　(DWPT)　system　has　the　problem　of　unstable　transmission　power　caused　by　the　change　of　coupling　coefficient　in　the　process　of　power　transmission.　This　paper　proposes　a　finite　control　set　model　predictive　control　(FCS-MPC)　strategy　based　on　mutual　parameter　identification　for　dynamic　wireless　power　transfer　system.　The　transmission　characteristics　of　DWPT　system　with　LCC-S　resonant　compensation　topology　is　analyzed,　and　the　output　current　of　the　inverter　in　the　primary　side　is　taken　as　reference　for　mutual　inductance　identification　by　particle　swarm　optimization　(PSO)　algorithm.　Then,　the　FCS-MPC　algorithm　based　on　PSO　is　used　to　control　the　output　voltage　by　changing　phase-shift　angle　in　the　primary　side.　For　precise　control,　the　compensation　calculation　of　the　phase-shift　angle　is　added.　The　simulation　at　the　end　of　the　paper　verifies　the　accuracy　of　the　PSO　algorithm　and　the　effects　of　proposed　strategy　under　different　coupling　coefficients　and　load.　The　results　indicate　that　the　proposed　strategy　has　fast　transient　response　and　stable　power　transmission　in　DWPT　system　which　can　be　used　to　improve　the　system　performance.　©　2023　IEEE.