<p>This study presents a comprehensive analysis of layered materials, focusing on the behavior of coated transversely isotropic materials under normal point forces. With the growing application of such materials in engineering, this work addresses key challenges in their design and analysis. Due to the thin coating layers and steep stress gradients, achieving accurate calculations—particularly at the interface—using commercial software remains difficult. To overcome this, we propose an exact solution for the three-dimensional elastic field of coated structures subjected to a normal point force, based on the general solution for transversely isotropic materials. The derived solution, expressed through elementary functions, exhibits excellent convergence, accuracy, and stability. Numerical results are illustrated as stress component contours, offering valuable insights into interface effects and potential tensile and shear delamination. These findings contribute significantly to the precise design and analysis of coated materials, advancing their application in high-performance engineering systems.</p>