This paper deals with a cooperative robotics support of dexterous robot arms, which is supposed to be utilized for space exposed experiments on the Multi Access Test and Observation Facility (MATOF). The MATOF is proposed to provide a user-friendly experimental facility for various users of space utilization. We propose a cooperative dexterous robots system as a support robotics of EVA, and we set up an experimental test-bed for evaluation experiment on ground. In this paper, we report results of evaluation experiments and cooperative task demonstration.