Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital algebras A,B and (A,B)-bimodule M which is faithful as a left A-module and also as a right B-module. Let σ and τ be two automorphisms of A. A family ∆ = {δn}n∈N of R-linear mappings δn : A → A is said to be a generalized Jordan triple (σ, τ)-higher derivation on A if there exists a Jordan triple (σ, τ)-higher derivation D = {dn}n∈N on A such that δ0 = IA, the identity map of A and δn(XYX) =∑ i+ j+k=n δi(σn−i(X))d j(σkτi(Y))dk(τn−k(X)) holds for all X,Y ∈ A and each n ∈ N. In this article, we study generalized Jordan triple (σ, τ)-higher derivation on A and prove that every generalized Jordan triple (σ, τ)-higher derivation on A is a generalized (σ, τ)-higher derivation on A