Plasmon resonances in C60 fullerene dimers connected by a sodium atom are investigated using time-dependent density functional theory. Because of the coupling between alkali metal sodium atom and C60 fullerene, in the infrared spectral region, plasmon resonances emerge in C60 fullerene dimers connected by a sodium atom. With the gradual decrease of the gap between two C60 fullerenes, plasmons of the infrared spectral region firstly show red shift, and then show blue shift. For large gap, the coupling between fullerenes is capacitive, and the plasmon of mid-infrared spectral region is a multipole plasmon resonant mode. For the smaller gap, the plasmon of mid-infrared spectral region gradually evolves into another plasmon resonant mode of near-infrared spectral region due to the electron tunneling. This mode is the coupling of the charge transfer plasmon mode and the multipole plasmon resonant mode.