This study evaluated the effectiveness of the inerter-based active tuned mass damper (ATMDI) for controlling wind-induced vibrations in tall TV towers, and compared its performance with other systems, including the traditional tuned mass damper (TMD), tuned mass damper with an inerter (TMDI), and active tuned mass damper (ATMD). A multi-degree-of-freedom model of a tall TV tower was analyzed using the frequency-domain method for various wind speeds, in both crosswind and along-wind directions. The results indicated that crosswind vibrations exceeded along-wind vibrations, with crosswind acceleration surpassing human comfort limits for the uncontrolled structure. The performance of these systems in reducing crosswind acceleration was examined parametrically, considering key variables such as damper mass ratio, inertance ratio, and ATMDI optimization parameters. The advantages and limitations of the studied systems were also discussed. While all systems reduced crosswind acceleration, the ATMDI demonstrated the most significant improvement, benefiting from both the active control mechanism and the mass amplification effect provided by the inerter. Additionally, the inerter reduced the damper stroke compared to the ATMD, addressing a key limitation of the latter.