To　realize　that　a　blind　proxy　signature　could　be　on　behalf　of　multiple　original　signers,　a　new　kind　of　signature,　blind　proxy　multi-signature,　was　presented　based　on　study　on　blind　proxy　signature　for　the　first　time.　The　new　kind　of　signature　could　overcome　the　limitation　that　a　blind　proxy　signature　could　not　be　on　behalf　of　more　than　one　original　signer.　Besides,　on　base　of　discrete　logarithm,　a　first　class　of　blind　proxy　multi-signature　scheme　and　a　second　class　of　blind　proxy　multi-signature　scheme　were　proposed　based　on　both　Nyberg-Rueppel　blind　proxy　signature　scheme　and　proxy　multi-signature　scheme.　They　have　the　properties　of　two　proxy　signature　schemes,　and　their　security　was　demonstrated.