This master's thesis focuses on the electrochemical anodization of titanium and Ti6Al4V alloy to create titania nanotubes (TNTs) for biomedical applications, aiming to enhance biocompatibility, osseointegration, and crucially, achieve controlled drug release. The study thoroughly investigated the optimization of anodization parameters, including acid pre-treatment and two-step anodization, to produce highly uniform and well-ordered TNTs on pure titanium substrates, demonstrating precise control over nanotube dimensions. The research also extended to additively manufactured Ti6Al4V alloy samples, revealing that the essential microstructure of "as-built" and "bulk" sections influences nanotube formation. A key innovative aspect was the exploration of current-controlled anodization to engineer specific internal TNT geometries, hypothesized to prolong drug release.