We proposed a multiband metamaterial absorber(MMA) based on high-order magnetic resonance using ring-shaped structures. This MMA is not only simple with highly symmetric geometry but also effectively absorptive with multi-band and down- scalability. It was found that the absorption occurred at some specific frequencies, which are three times and five times higher than that of common structures, originates from the magnetic resonances. In particular, the obtained results can be theoretically explained by using the LC circuit model. In addition, by scaling down the unit-cell size, the third- and fifth-order magnetic resonances are created at the THz frequencies. The presence of multiple absorption peaks opens the possibility for MMAs working from the GHz to the THz band.We proposed a multiband metamaterial absorber(MMA) based on high-order magnetic resonance using ring-shaped structures. This MMA is not only simple with highly symmetric geometry but also effectively absorptive with multi-band and down- scalability. It was found that the absorption occurred at some specific frequencies, which are three times and five times higher than that of common structures, originates from the magnetic resonances. In particular, the obtained results can be theoretically explained by using the LC circuit model. In addition, by scaling down the unit-cell size, the third- and fifth-order magnetic resonances are created at the THz frequencies. The presence of multiple absorption peaks opens the possibility for MMAs working from the GHz to the THz band.