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In this paper, we have predicted the stabilities of several two-dimensional phases of silicon nitride, which we name as α-phase, β-phase, and γ-phase, respectively. Both α- and β-phases has formula Si_2N_2, and are consisted of two similar layer of buckled SiN sheet. Similarly, γ-phase is consisted of two puckered SiN sheets. For these phases, the two layers are connected with Si-Si covalent bonds. Transformation between α- and β-phases is difficult because of the high energy barrier. PhononarXiv:1707.02819v1 fatcat:vryx77f3vbec3nappprjord7cm