This　paper　deals　with　the　construction　of　spline　wavelets　on　the　interval　[0,　1],　which　have　zero　boundary　values　and　vanishing　moments.　One　begins　with　some　primal　scaling　functions　and　their　biorthogonal　duals.　Then　desired　biorthogonal　wavelets　are　given　by　the　method　of　Dahmen,　Kunoth　and　Urban.　Since　the　structure　of　those　wavelets　looks　complicated,　one　tries　to　construct　those　types　of　wavelets　only　in　primal　side　finally,　without　using　any　dual　informations.　Some　numerical　experiments　show　good　effects,　although　the　uniform　stability　remains　to　be　proved　theoretically.