The　Ladyzenskaja-Babuska-Brezzi　(LBB)　condition　is　a　necessary　condition　for　the　well-posedness　of　discrete　saddle　point　problems　stemming　from　discretizing　the　Stokes　equations.　In　this　paper,　we　prove　the　LBB　condition　and　provide　the　(optimal)　lower　bound　for　this　condition　for　the　triangular　spectral　method　proposed　by　L.　Chen,　J.　Shen,　and　C.　Xu　in　[3].　Then　this　lower　bound　is　used　to　derive　an　error　estimate　for　the　pressure.　Some　numerical　examples　are　provided　to　confirm　the　theoretical　estimates.