We　proposed　a　scheme　for　the　reconstruction　of　the　quantum　states　for　the　center-of-mass　vibrational　mode　of　two　trapped　ions.　In　the　scheme　the　ions　are　multichromatically　excited　by　three　lasers.　Then　measurement　of　the　difference　between　probabilities　of　the　ions　being　both　in　electronic　ground　and　excited　states　directly　yields　the　Wigner　characteristic　function　for　the　center-of-mass　vibrational　state.　The　scheme　can　also　be　used　to　prepare　entangled　coherent　states　for　the　center-of-mass　and　relative　vibrational　modes.