Mapping　a　complex　network　of　N　coupled　identical　oscillators　to　a　quantum　system,　the　nearest　neighbor　level　spacing　(NNLS)　distribution　is　used　to　identify　collective　chaos　in　the　corresponding　classical　dynamics　on　the　complex　network.　The　classical　dynamics　on　an　Erdos-Renyi　network　with　the　wiring　probability　p(ER)　＜=　1/N　is　in　the　state　of　collective　order,　while　that　on　an　Erdos-Renyi　network　with　p(ER)　＞　1/N　in　the　state　of　collective　chaos.　The　dynamics　on　a　WS　Small-world　complex　network　evolves　from　collective　order　to　collective　chaos　rapidly　in　the　region　of　the　rewiring　probability　p(r)　is　an　element　of　[0.0,　0.1],　and　then　keeps　chaotic　up　to　p(r)　=　1.0.　The　dynamics　on　a　Growing　Random　Network　(GRN)　is　in　a　special　state　deviates　from　order　significantly　in　a　way　opposite　to　that　on　WS　small-world　networks.　Each　network　can　be　measured　by　a　couple　values　of　two　parameters　(beta,　eta).　(c)　2005　Elsevier　B.V.　All　rights　reserved.