Abstract: Dynamic multiobjective optimization evolutionary algorithm（DMOEA）, whose main task is to solve dynamic multiobjective optimization problem（DMOP） by the methods of evolutionary computation, has become one of a new research project in evolutionary computation field. Firstly, the categories of dynamic optimization problem were introduced; second, the basic concepts and the mathematics formal representation of DMOP were described; finally, based on the basic principle, design propose, the discussion of research condition and performance metrics for DMOEA at present, some key viewpoints for future research of DMOP were proposed.