Spatiotemporal chaos network synchronization of the laser Maxwell-Bloch equation is studied. The single-mode laser Maxwell-Bloch equation is amended. Then N single-mode laser Maxwell-Bloch equations amended are taken as nodes to constitute a complex network. Considering the fact that the parameters of the spatiotemporal chaos systems taken as nodes may have small deviations from the actual values because of some interference in the network connecting process, the system at the first node is take as a driven system to drive the rest of the N-1 systems in parallel to achieve synchronization. Furthermore, simulation is performed to verify the effectiveness of the method.