As an offshore wind power turbine is bigger, a new-type supporting structure is required reduce any probability of risk such as its buckling failure. In this study, we analyzed free oscillation of ICH RC wind power tower based on the design sections in the previous study. Also, we checked the safety by resonance between designed ICH RC wind power towers and various commercial wind power turbines. The eigenvalue analysis results showed that the designed ICH RC wind power towers were free from the resonance by turbines.