The purpose of this paper is to apply second order η-approximation method introduced to optimization theory by Antczak \cite{2} to obtain a new second order η-saddle point criteria for vector optimization problems involving second order invex functions. Therefore, a second order η-saddle point and the second order η-Lagrange function are defined for the second order η-approximated vector optimization problem constructed in this approach. Then, the equivalence between an (weak) efficient solution of the considered vector optimization problem and a second order η-saddle point of the second order η-Lagrangian in the associated second order η-approximated vector optimization problem is established under the assumption of second order invexity.