Westudythepropertiesofthethree-modeEinstein-Podolsky-Rose(EPR)eigenstateanditsapplicationinquantumdensecoding.Ourresultshowsthatthethree-modeEPReigenstateprovidesaconvenientwaytorealizequantumdensecodingwhenthequantumchannelisathree-modesqueezedstate.