In the current article is presented the new control of static compensator (STATCOM) for compensation of voltage asymmetry in power system, which is not based on measurement of the current of asymmetrical load. In this way it is not necessary to know the sources of asymmetry and their currents. In suggested control as input signals are used the deviations of each phase voltage from nominal value. So in the output of compensator is obtained asymmetrical voltage that leads to generation/absorption of asymmetrical phase currents. Thereby the voltage in the node of connection of the static compensator becomes symmetric. For control of the STATCOM is used adaptive modal regulator, which identify the control object by minimal model from low order and after that calculates control signal. The computer model of power system consisting of symmetrical and asymmetrical loads and STATCOM was created and used for examination of different working modes of suggested control of compensator.