When a revolution speed of the engine (crankshaft) changes faster or slower, the vibration from the engine is propagated to an occupant in the vehicle, and the occupant may feel a sense of discomfort. For this reason, the present invention provides an active vibration isolating support apparatus and method for controlling the same to suppress the propagation of the vibration from the engine to the vehicle body so that the occupant may feel less sense of discomfort even if the revolution speed of the engine changes.