In　order　to　mitigate　the　impact　of　load　changes　and　external　interferences　on　the　stability　of　wireless　power　transfer　(WPT)　systems,　the　control　strategy　with　excellent　dynamic　performance　and　disturbance　rejection　capability　should　be　used.　Therefore,　a　novel　finite-control-set　model　predictive　control　(FCS-MPC)　is　proposed　for　the　voltage　control　of　WPT　systems　in　this　paper.　This　method　is　implemented　on　the　basis　of　a　discrete　dynamic　voltage　model,　and　its　operation　mechanism　is　given　detailly　and　intuitively.　Moreover,　the　tradeoff　between　computational　burden　and　dynamic　performance　is　removed　by　introducing　an　adaptive　step-size.　An　improved　cost　function　also　is　presented　to　accelerate　the　convergence　rate　and　improve　the　disturbance　rejection　capability.　Finally,　simulation　results　are　given　to　validate　the　capability　of　the　novel　FCS-MPC.　©　2021　IEEE.