We　propose　a　scheme　for　generating　nonclassical　states　for　the　centre-of-mass　vibrational　mode　of　N　trapped　ions,　including　superpositions　of　several　coherent　states　on　a　circle　and　Fock　states.　In　the　scheme　N　trapped　ions　are　driven　by　a　laser　beam　tuned　to　the　carrier.　The　scheme　also　provides　a　new　prospect　for　laser　cooling.　The　scheme　can　be　used　to　measure　the　Wigner　function　of　the　collective　vibrational　mode.