This study introduces a detailed analytical model for determine the natural vibrations of cylindrical shells of variable thickness. Such shells are critical in various engineering domains, including aerospace, marine, and mechanical engineering, where precise vibration characteristics are essential for ensuring structural integrity and performance. The model leverages classical shell theory, incorporating the effects of variable thickness to derive the governing differential equations for free vibration. Employing Hamilton's principle, an analytical solution was developed, yielding results for shells with S–S boundary condition. The variation in thickness is assumed to varying linearly along the longitudinal direction. This study examines the impact of parameters like radius, length, and thickness on shell's resonant frequency. The results offer useful insights for the design and analysis of cylindrical shells in practical applications, equipping engineers with a robust tool to predict and mitigate adverse vibrational effects in complex structural systems. The research enhances the understanding of shell vibration mechanics and paves the way for more efficient and reliable design strategies in engineering disciplines.