All optical link networks of the space laser communication with high transmission rate determine their development position and direction in global space communication in the future. All optical link networks require to solve the problem of the one-point to multi-points optical link. Different ways to solve the problem require different optical antenna structures and different tracking control ways. Based on the optical principle of all optical link networks, a flat four-mirror optical antenna structure is proposed. The mathematical model is established based on the dynamic tracking principle of link network scheme. The mathematical relationship is given based on the optical parameters of communication nodes, and data are analyzed. It can be used as the guidance for space laser communication terminal ATP (acquisition, tracking, pointing) control system. A networking scheme of low earth orbit double links is proposed, the working plane of laser communication terminal four plane tracking mirrors optical antenna is placed at the satellite link orbit plane, and all optical link networks with space laser communication in low earth orbit can be realized.