One challenge in dual arm robotic field is the description of cooperative tasks of the two arms. Traditional methods with translational vector and rotational matrix are complex, especially for dual arm cooperative tasks. In this paper, using the ability of dual quaternion based full dual position control strategies, it is possible to present the cooperative kinematic control problem in a compact and lack of singularity manner. Simulations is carried out on ABB YuMi dual arm robot to show the effectiveness of the approach.