The dynamical properties of two-dimensional 3×3 lattice arrays of single-mode Nd:YAG lasers are investigated by numerical simulation. The lasers of the array are locally coupled and interacted through their optical fields and accommodated by setting some certain parameters of lasers. The results show that the intensities between some corresponding lasers can reach the state of chaotic synchronization under the rigor suitable parameters, when the distance between arbitrary two adjacent coupled lasers is in the proper area, and they also have the characteristics of chaotic synchronization between the lasers in the situation of minor diagonal or the parallel diagonal with minor diagonal. Through the computations and the analysis of the power spectra and Lyapunov exponents, it can be convinced that the states of the laser system are chaotic.