In a so-called motoring state at the time of engine starting before actuating engine, there is a problem that a roll vibration, which is generated when an engine revolution speed Ne is at a predetermined engine revolution speed and vibrates the engine and the vehicle body largely, can not be suppressed. For this reason, the present invention provides an active vibration isolating support apparatus in which the roll vibration can be suppressed in the motoring state at the time of engine starting.