This study investigates the Higgs-strahlung process \(e^+e^- \rightarrow Z'H\) in the context of the \(SU(3)_C \otimes SU(3)_L \otimes U(1)_X\) (3-3-1) model with the extended electroweak sector, focusing on the role of the extra neutral gauge boson \(Z'\) . The total scattering cross-section is determined at tree level and its dependence on critical model parameters, such as the \(Z'\) boson mass and the Mandelstam variables. Compared to the standard model process \(e^+e^- \rightarrow ZH\) , the extended gauge structure of the 3-3-1 model introduces modified couplings that can enhance production rates and lead to detectable deviations at high-energy colliders. The results of this study highlight the scope of the Higgs-strahlung process as a feasible channel for confirming the existence of new gauge bosons and exploring the symmetry-breaking patterns inherent to the 3-3-1 model.