In this work, we offer the triple sequences spaces defined by the triple cubic maximal Foung functions. Some academics defines the concept of an Orlicz function as follows: Let 𝓌:[0, ∞) → [0, ∞) is called the Orlicz function if it is a continuous, non-decreasing, convex function that satisfies the following properties: 𝓌(0) = 0, 𝓌(d) ≻ 0 for d ≻ 0, 𝓌(d) ⟶ ∞ as d⟶∞. Additionally, Foung function can be defined as follows: If ψ(L) = L 𝓌(L), where 𝓌 is an Orlicz function then ψ:[0,∞) → [0,∞)  is said to be Foung function. For the triple sequences’ spaces (ℓ𝓗)3 (𝓅), we illustrate some of their fundamental topological and algebraic properties, (ℓ𝓗)3 (𝓅) is complete space, and soon. We also discuss other properties to the space.