The primary focus of this study is to examine how the arrangement of carbon nanotubes (CNTs) within a functionally graded nanocomposite (FG-CNT) impacts its behavior. A finite element model for contact, based on spherical indentation, is created using APDL code within the ANSYS platform. The analysis involves three different distribution patterns: uniform distribution (FG-UD), distribution with decreasing order (FG-V), and distribution with increasing order (FG-Ʌ) from the contact surface toward the base. The model’s accuracy is confirmed by comparing its results with existing literature. Key parameters such as contact force, contact area, stress distribution, and deformation characteristics are extracted from the contact model. Through a detailed investigation, it is found that the FG-V distribution pattern exhibits enhanced contact properties.