In this article, we show that under certain assumptions every multiplicative Lie triple higher derivation  L= {L_i}_i∈N on U is of standard form, i.e., each component L_i has the form L_i = δ_i + γ_i, where {δ_i}_i∈N is an additive higher derivation on U and {γ_i}_i∈N is a sequence of mappings γ_i : U → Z(U) vanishing at Lie triple products on U.