In　this　paper,　the　dynamics　of　the　higher-order　soliton　solutions　for　the　coupled　mixed　derivative　nonlinear　Schrodinger　equation　are　investigated　via　generalized　Darboux　transformation.　Given　a　pair　of　linearly　independent　solutions　of　the　Lax　pair,　the　one-　to　three-soliton　solutions　are　obtained　via　algebraic　iteration.　Furthermore,　two　and　three　solitons　are　respectively　displayed　via　numerical　simulation.　Moreover,　the　dynamics　of　solitons　are　illustrated　with　corresponding　evolution　plots,　such　as　elastic　collisions,　inelastic　collisions,　and　bound　states.　It　is　found　that　there　are　some　novel　phenomena　of　interactions　among　solitons,　which　may　provide　a　theoretical　basis　for　studying　optical　solitons　in　experiments.