Additive manufacturing, particularly through Laser Powder Bed Fusion (LPBF), has revolutionized the fabrication of intricate, Functionally Graded Lattice Structures (FGLSs) utilizing the biocompatible titanium alloy Ti-6Al-4V. These advanced structural architectures present a highly effective and innovative strategy for mitigating the problematic stress-shielding phenomenon that is frequently observed in traditional orthopedic implants. By meticulously emulating the natural, heterogeneous density gradients found in human bone, these specialized designs promote enhanced osseointegration and significantly prolong the functional lifespan of the implant. This comprehensive systematic study investigates the underlying structural and mechanical characteristics of three distinct Triply Periodic Minimal Surface (TPMS) topologies: Split-P, Gyroid, and Diamond. To rigorously evaluate the influence of these geometric designs on overall mechanical behavior, standardized cylindrical specimens—measuring 0.5 × 0.5 × 1 inch in accordance with ASTM E9 specifications—were fabricated using the LPBF process. For each specific TPMS architecture, three distinct relative density profiles were manufactured: a uniform 30%, a uniform 70%, and a continuous periodic gradient transitioning between 30% and 70%. The as-built printed specimens first underwent high-resolution Computed Tomography (CT) scanning to meticulously assess internal geometric fidelity, overall print quality, and strict dimensional accuracy. Subsequently, the samples were subjected to rigorous quasi-static compression testing to accurately quantify critical mechanical properties, specifically focusing on compressive strength and the elastic modulus (stiffness). By correlating these detailed morphological features with the resulting mechanical responses across the varying density configurations, this research aims to conclusively identify the optimal lattice topology that best mimics the complex biomechanical behavior of natural bone, thereby directly contributing to the advancement and optimization of next-generation biomedical implants.