In　order　to　understand　the　mechanism　of　energy　transfer　in　an　axially　moving　string　with　a　tensioner　and　to　develop　a　control　strategy　for　the　system,　transverse　vibration　control　of　an　axially　moving　string　is　investigated　based　on　the　energy　transfer　principle　of　traveling　waves.　The　energy　of　the　system　is　minimized　via　choosing　the　optimal　control　coefficient,　determined　by　maximizing　the　total　energy　dissipation.　Hence　the　transverse　vibration　of　the　string　is　minimized　as　well.　The　finite　difference　method　is　employed　to　solve　the　governing　equation　numerically.　The　simulation　results　demonstrate　the　effectiveness　of　the　control　approach.