Westudytheattackvulnerabilityofnetworkwithduplication-pergencemechanism.Numericalresultshaveshownthattheduplication-pergencenetworkwithlargerretentionprobabilityσismorerobustagainsttargetattackrelatively.Furthermore,duplication-pergencenetworkisbrokendownmorequicklythanitscounterpartBAnetworkundertargetattack.SuchresultisconsistentwiththefactofWWWandInternetnetworksundertargetattack.Soduplication-pergencemodelisamorerealisticoneforustoinvestigatethecharacteristicsoftheworldwidewebinfuture.Wealsoobservethattheexponentγofdegreedistributionandaveragedegreeareimportantparametersofnetworks,reflectingtheperformanceofnetworksundertargetattack.Ourresultsarehelpfultotheresearchonthesecurityofnetwork.