The communication ability of the laser communication networking antenna is determined by its transmitting and receiving efficiency. A new type of networking model of antenna system is proposed, and the algorithm of transmitting and receiving energy efficiency is analyzed through mathematical model. Based on this model, the equation of transmitting and receiving energy efficiency is derived. After that, the accurate functional relationships between the energy transmitting and receiving efficiency with optical structure parameters such as opening up and down diameters, focal length of rotating paraboloid, unit aperture and focal length of converging lens are discussed. These conclusions can be applied to the structure design and optimization of laser optical communication networking antenna. Finally, under the background of three (low earth orbit) LEO satellites within 1000 kilometers of networking communication system and the velocity up to 2.5 Gb/s, the minimum laser power that satisfies the communication situation, the curves reflecting the changes of transmitting efficiency with tracking communication angle, and the receiving efficiency of the networking antenna system are calculated and analyzed.