Hydrogen　supply　and　circulating　in　vehicular　fuel　cells　is　crucial　for　their　output　capability　and　lifetime.　In　this　article,　an　enhanced　multiple-input　multiple-output　(MIMO)　model　predictive　control　(MPC)　scheme　is　proposed　for　hydrogen　regulation　based　on　vehicle　speed-induced　fuel　cell　current　disturbance　stochastic　prediction.　The　Markov　exponential　smoothing　law　is　first　developed　for　the　vehicle　speed　prediction.　The　forecasted　fuel　cell　power　demand　is　obtained　through　vehicle　dynamics　model　and　rule-based　energy　management　to　release　the　predictive　stack　current　regarding　as　the　disturbance　of　hydrogen　control　system.　The　discrete　predicted　current　sequence　is　with　stochastic　features　and　typed　into　the　predictive　model　of　MPC　which　is　on　longer　the　length　of　control　horizon.　Two　case　studies　are　presented　to　discuss　the　influence　of　different　speed　sampling　times　on　the　hydrogen　regulation　result　under　the　proposed　enhanced　MPC.　The　enhanced　MPC　has　a　better　performance　than　the　traditional　MPC,　and　the　control　RMSE　of　which　can　be　reduced　by　44.09%　in　case　1　and　69.78%　in　case　2　during　automotive　driving　cycles.　A　dSPACE　MicroAutoBox　hardware　in　loop　(HIL)　experiment　was　conducted　and　the　results　well　matched　with　the　simulation　which　has　verified　the　real-time　performance　of　the　enhanced　MPC　scheme.　©　2021　Elsevier　Ltd