The kinematic equations and rotational speed relative sequence of the double and douplex planet multi-member planetary trains were established according to the mesh relation. The design theory and method of multi-freedom compound planetary transmission scheme were presented based on component relative rotational speed diagram. Essential condition of the diagram to design the scheme was decided, and the methods to distinguish component attributes and to calculate planetary characteristic parameters were presented. Finally, The feasibility and correctness of the method were validated by some design instances.