Compression textiles as adjuvant physical interventions are increasingly applied for prophylaxis and treatment of chronic venous insufficiency (CVI), providing benefits of calibrated compression and controlled stretch. Pressure dosage delivered and mechanical properties (stiffness, elasticity and hysteresis) are determined by material nature, stitches structures, fabrication technology and delivery modes. Laplace’s Law and Pascal’s Law contribute to elaborate the static and dynamic working mechanisms behind the interaction between compression interventions and a biological body. However, there is still a lack of sufficient awareness on compression materials, and there is controversy regarding the best solution for clinical application of compression. This study integrates the views from physiology, pathophysiology, biomechanics, material science and textile engineering, to review and clarify physical–mechanical characteristics of compression materials, working mechanisms of textile-based compression interventions and their medical benefits in chronic venous insufficiency treatment. The aim is to enhance understanding of compression textiles applied in compression therapy, and to facilitate cooperation among multiple parties working in related supply chains, thus promoting textile-based compression interventions in chronic venous insufficiency treatment and growth of technical textiles applied in healthcare, medical and rehabilitation fields.