Atpresent,chaoticcommunicationshavebeenwidelystudied.However,theseresearchesmainlyfocusonthebinarysystemswhiletheresearchesofM-arychaoticcommunicationsarenotextensive.Tochangethesituation,achaosM-arymodulationmethodbasedonphaseplanepartitionofHamiltonmapisproposed.Firstly,thechaoticmodelofHamiltonmapanditsphaseplanefeaturesaredescribed,andthenthewayofcreatingthechaosM-arymodulationisdiscussed.Next,toevaluatetheproposedmethod,thesystemsimulationresultsandanalysisaregiven.Finally,thechaosM-arymodulationmethodisappliedtocommunications.