The　transverse　vibration　control　of　an　axially　moving　string　system　coupling　the　moving　of　actuator　was　investigated.　The　dynamic　equations　of　string　and　actuator　were　derived　via　Hamilton＇s　principle,　and　the　dynamic　equation　of　the　actuator　contained　the　mass　of　the　tensioner　pulley.　Then　the　Lyapunov　method　was　employed　to　prove　the　boundedness　of　the　transverse　vibration　of　the　uncontrolled　string,　designed　the　controlled　law　for　reducing　the　transverse　vibration　of　the　controlled　string,　proved　the　exponentially　stable　of　the　controlled　string.　By　numerical　simulation,　the　transverse　vibration　displacement　diagrams　under　initial　disturbance　were　given,　and　the　effectiveness　of　the　controller　was　demonstrated.