In 2016, LIGO group announced the detections of gravitational waves (GWs). This was not only the first observation of gravitational wave, but also the first direct evidences of black hole (BH), and BH binaries. We plan to apply GW observations to specify the formation model of a super-massive BH (SMBH). First, we explain the expected observational profiles of gravitational wave at ground-based detectors, such as KAGRA or advanced LIGO/VIRGO. We then explain our dynamical formation model of a SMBH and its plausibilities. We, then, estimate the number density of galaxies from halo formation model, and estimate the number of BH mergers from giant molecular cloud model together with hierarchical growth of merged cores. Taking account the detector's sensitivities, we finally discuss event rates of GWs based on our scenario. Our conclusion is that the statistics of the signals will tell us both a galaxy distribution and a formation model of SMBHs. Especially, if we detect a BH with more than 100 M_solar in future gravitational wave observations, our model naturally explains its source.