In recent years, the connected control method (CCM) attracts attention as a new control method to suppress vibration of high-rise buildings due to strong winds or large earthquakes. The CCM for two building structures arranged in parallel with MR damper has already been presented in a previous research. Therefore we increased the number of building structures to be connected 2 to 4. They are arranged in square and connected with four MR dampers. In this research, each MR damper is located to connect at edges of two building structures to control torsional vibration as well as bending vibration. In this paper, a basic research is presented that shows the effectiveness of the CCM with the MR damper as a passive control device.