A drive-control-system of electromotive vehicle and drive-control-method of an electromotive vehicle. A system has a condition-determination-process unit that reads a vibration index as a factor causing vibration in the vehicle-drive-system, and determines whether a damping-control-starting-condition is established based on the vibration index, and a damping-control-process unit that performs a damping control process such that a variable of vibration generation is reduced when the damping-control-starting-condition is established.