In this study, the effect of a tuned-mass-damper-inerter (TMDI) system on the reduction of wind-induced vibration of tall RC chimneys was studied. A chimney with a height of 160 m was modeled as a multi-degree-of-freedom cantilever beam. The wind-induced responses were computed using frequency domain analysis and random vibration theory. The mass damper was assumed to be connected to the top node of the structure. One terminal of the inerter was connected to the mass damper, and the other to a node at a lower height. The height ratio for the TMDI was defined as the ratio of vertical distance between the inerter’s terminals to the height of the structure. The effects of the height and inertance ratios on the vibration control performance of the TMDI were parametrically evaluated. The control action of the TMDI was compared with that of the traditional TMD. The results indicated that increasing the height and inertance ratios reduced the structural response. For instance, the TMDI with a mass ratio of 1%, a height ratio of 20%, and an inertance ratio of 40% had a control action equal to that of a TMD with a mass ratio of 5%. Furthermore, the inerter significantly reduced the vibration amplitude of the damper itself so that for the TMDI system with the mentioned specifications, the vibration amplitude of the damper was reduced by 85% compared to the conventional mass damper.