By using graph theory

the number synthesis of planar 3-DOF eight-bar and ten-bar mechanism type is analyzed.Using the result of number synthesis and starting from the topology

the kinematic chain basic structure type of planar 3-DOF eight-bar and ten-bar mechanism is studied and analyzed.Starting the moving performance

five kinds of basic mechanism type of eight-bar and forty kinds of basic mechanism type of ten-bar mechanisms kinematic chains are obtained.A theoretical basis and foundation for the innovation and application of planar 3-DOF mechanism is provided.