This　paper　investigates　the　drive-response　finite-time　anti-synchronization　for　memristive　bidirectional　associative　memory　neural　networks　(MBAMNNs).　Firstly,　a　class　of　MBAMNNs　with　mixed　probabilistic　time-varying　delays　and　stochastic　perturbations　is　first　formulated　and　analyzed　in　this　paper.　Secondly,　an　nonlinear　control　law　is　constructed　and　utilized　to　guarantee　drive-response　finite-time　anti-synchronization　of　the　neural　networks.　Thirdly,　by　employing　some　inequality　technique　and　constructing　an　appropriate　Lyapunov　function,　some　anti-synchronization　criteria　are　derived.　Finally,　a　number　simulation　is　provided　to　demonstrate　the　effectiveness　of　the　proposed　mechanism.　(C)　2018　Elsevier　Ltd.　All　rights　reserved.