Let 1 < n ∈ Z+ and T be a triangular n−matrix ring. This manuscript reveals that under a few moderate presumptions, a map L : T → T could be a multiplicative Lie N−derivation iff L (X ) = D(X ) + ζ(X ) holds on everyX ∈ T , where D : T → T is an additive derivation and ζ : T → Z (T ) is a central valued map that disappears on all Lie N−products.