A　scheme　is　proposed　for　generating　motional　pair　coherent　states　of　an　ion　in　a　two-dimensional　anisotropic　trap.　In　the　scheme　the　ion　is　excited　by　two　laser　beams　in　the　x-y　plane.　Under　certain　conditions,　the　system　finally　reaches　the　steady　state　given　by　the　product　of　the　ground　electronic　state　with　the　motional　pair　coherent　state.　The　scheme　can　be　generalized　to　prepare　pair　cat　states　and　two-mode　SU(1,　1)　intelligent　states　in　a　two-dimensional　anisotropic　trap.