This research presents a theoretical model for analyzing composite pipes under combined axial and external pressure loadings. Accurate prediction and understanding of the response of composite pipes to these loading conditions are crucial for ensuring their structural integrity and longevity in off-shore environments. Thus, a sophisticated theoretical model is developed and rigorously evaluated in this study. The model synergistically combines the 3D elasticity method and classical lamination theory (CLT) to precisely capture the intricate interactions between axial forces and external pressure on composite pipes. The robustness and accuracy of the proposed model are demonstrated through finite element (FE) simulations and parallel analytical methods. Developed analytical method provides valuable insights and practical solutions for engineering applications, particularly in offshore engineering. The findings of this study pave the way for enhanced design methodologies, ensuring greater safety and efficiency in structural analysis.