Vibration　control　of　an　axially　moving　string　system　consisting　of　a　controlled　span　coupled　to　a　tensioner　is　investigated　by　considering　the　influence　of　mass　of　the　tension　pulley.　Transverse　response　of　both　the　controlled　and　uncontrolled　system　is　derived　in　the　frequency　domain　by　Green　function　method　and　the　wave　cancellation　method　is　then　employed　to　design　the　control　law　for　ensuring　the　vibration　reduction.　The　Durbin＇s　numerical　inversion　of　Laplace　is　employed　to　transform　the　vibration　response　of　the　controlled　span　into　time　domain　under　initial　disturbance　and　excitations,　and　then　the　effectiveness　of　the　control　law　is　demonstrated　by　Matlab　simulation.