Due　to　the　featured　high-amplitude,　long-period　pulses　in　velocity　or　displacement　time–history,　the　near-fault　ground　motion　may　have　a　stronger　destructive　effect　on　engineering　structures.　Therefore,　studying　velocity　pulses　modeling　of　near-fault　ground　motions　has　been　an　important　topic　in　the　earthquake　engineering　community.　However,　the　variability　and　probabilistic　correlation　of　pulse　model　parameters　have　not　received　enough　attention.　To　this　end,　an　elegant　method　for　stochastic　simulation　of　velocity　pulses　of　near-fault　ground　motions　is　proposed　based　on　the　classical　Gabor　wavelet　modeling　and　probabilistic　correlation　analysis　of　associated　model　parameters　by　multivariate　copula　modeling.　Especially,　an　efficient　scheme　of　iteratively　determining　the　optimal　copulas　pertinent　to　edges　of　a　complex　vine　structure　is　developed,　and　two　parameters　relevant　to　the　near-fault　ground　motion　records,　i.e.,　the　rupture　distance　and　the　strongest　pulse　orientation,　are　introduced　which　provides　a　physical　basis　for　addressing　the　dependence　structure　among　variables.　For　illustrative　purposes,　the　ground　accelerograms　recorded　by　near-fault　instruments　in　the　1999　Chi-Chi　earthquake　are　used.　It　is　shown　that　the　multivariate　copula　modeling　enables　the　efficient　representation　of　probabilistic　correlation　between　model　parameters　which　is　consistent　with　their　physical　mechanism.　The　time　histories　and　spectral　characteristics　of　velocity　pulses　of　near-fault　ground　motions　and　their　stochastic　fluctuations　with　respect　to　the　rupture　distance　are　well　simulated.　While　the　empirical　linear　regression　model　does　not　meet　the　requirements　of　random　vibration　analysis　and　thus　cannot　guide　the　safety　design　of　seismic　structures.　©　2023