The　aim　of　this　paper　is　to　study　bialgebras(Hopf　algebras)　on　the　skew　polynomial　algebras　R[　z;　s]　of　automorphism　type,　which　comultiplication　defined　on　the　variable　z　is　extended　by　a　Drinfeld　twist　J　for　a　Hopf　algebra　R.　Firstly,　we　establish　some　necessary　and　sufficient　conditions　that　are　of　Hopf　algebra　structures　on　the　localization　of　skew　polynomial　ring　R[z;　s]　and　on　the　quotients　of　R[　z;　s]/I,　for　a　certain　Hopf　ideal　I　of　R[　z;　s].　Then,　we　give　some　examples　for　these　results.　Specially,　the　non-semisimple　and　non-pointed　16　dimension　self-dual　Hopf　algebra　is　also　constructed　by　the　Ore　extensions　of　automorphism　type.