A　passive　and　adaptive　control　method　for　stabilizing　a　pipe　conveying　fluid　is　presented.　Owing　to　fluid-pipe　interactions,　pipes　are　subjected　to　excessive　vibrations.　Classical　passive　control　methods　are　only　valid　for　stabilizing　the　pipes　over　a　narrow　range　of　flow　velocities.　In　this　paper,　the　theory　of　nonlinear　targeted　energy　transfer　(TET)　is　applied　to　suppress　the　excessive　vibration　of　a　pipe　by　using　an　essentially　nonlinear　attachment,　which　is　called　a　nonlinear　energy　sink　(NES).　Numerical　evidence　for　a　passive　TET　between　the　pipe　and　NES　is　proposed.　Results　show　that　the　NES　can　robustly　absorb　and　dissipate　a　major　portion　of　the　vibrational　energy　of　the　pipe.